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5269922688 = 273192924907
BaseRepresentation
bin1001110100001110…
…01010001110000000
3111121021021210212210
410322013022032000
541243100011223
62230532422120
7244410414042
oct47207121600
914537253783
105269922688
112264808a08
121030a77940
1365ca58464
1437dc85a92
1520c9c3893
hex13a1ca380

5269922688 has 128 divisors (see below), whose sum is σ = 15243696000. Its totient is φ = 1606735872.

The previous prime is 5269922629. The next prime is 5269922689. The reversal of 5269922688 is 8862299625.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5269922689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199131 + ... + 224037.

It is an arithmetic number, because the mean of its divisors is an integer number (119091375).

Almost surely, 25269922688 is an apocalyptic number.

5269922688 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5269922688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7621848000).

5269922688 is an abundant number, since it is smaller than the sum of its proper divisors (9973773312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5269922688 is a wasteful number, since it uses less digits than its factorization.

5269922688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24972 (or 24960 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The square root of 5269922688 is about 72594.2331593908. The cubic root of 5269922688 is about 1740.2090170365.

The spelling of 5269922688 in words is "five billion, two hundred sixty-nine million, nine hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 128 152 174 192 228 232 304 348 384 456 464 551 608 696 912 928 1102 1216 1392 1653 1824 1856 2204 2432 2784 3306 3648 3712 4408 5568 6612 7296 8816 11136 13224 17632 24907 26448 35264 49814 52896 70528 74721 99628 105792 149442 199256 211584 298884 398512 473233 597768 722303 797024 946466 1195536 1419699 1444606 1594048 1892932 2166909 2391072 2839398 2889212 3188096 3785864 4333818 4782144 5678796 5778424 7571728 8667636 9564288 11357592 11556848 13723757 15143456 17335272 22715184 23113696 27447514 30286912 34670544 41171271 45430368 46227392 54895028 60573824 69341088 82342542 90860736 92454784 109790056 138682176 164685084 181721472 219580112 277364352 329370168 439160224 658740336 878320448 1317480672 1756640896 2634961344 5269922688