Search a number
-
+
2123897568 = 253131701841
BaseRepresentation
bin111111010011000…
…0001101011100000
312111000111011201220
41332212001223200
513322204210233
6550430255040
7103426555122
oct17646015340
95430434656
102123897568
1199a980751
124b3357480
1327b037330
1416210b212
15c66d7eb3
hex7e981ae0

2123897568 has 48 divisors (see below), whose sum is σ = 6004098576. Its totient is φ = 653506560.

The previous prime is 2123897561. The next prime is 2123897603. The reversal of 2123897568 is 8657983212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2123897568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123897561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 849673 + ... + 852168.

It is an arithmetic number, because the mean of its divisors is an integer number (125085387).

Almost surely, 22123897568 is an apocalyptic number.

It is an amenable number.

2123897568 is an abundant number, since it is smaller than the sum of its proper divisors (3880201008).

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

2123897568 is a wasteful number, since it uses less digits than its factorization.

2123897568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701867 (or 1701859 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 2123897568 is about 46085.7631812689. The cubic root of 2123897568 is about 1285.4184303528.

The spelling of 2123897568 in words is "two billion, one hundred twenty-three million, eight hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1701841 3403682 5105523 6807364 10211046 13614728 20422092 22123933 27229456 40844184 44247866 54458912 66371799 81688368 88495732 132743598 163376736 176991464 265487196 353982928 530974392 707965856 1061948784 2123897568