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3119422752 = 25341770793
BaseRepresentation
bin1011100111101110…
…1001110100100000
322001101202002120000
42321323221310200
522342033012002
61233312020000
7140205440655
oct27173516440
98041662500
103119422752
111360918536
12730831600
133a93687a4
14218411c2c
15133cd361c
hexb9ee9d20

3119422752 has 120 divisors (see below), whose sum is σ = 9713927916. Its totient is φ = 978628608.

The previous prime is 3119422741. The next prime is 3119422799. The reversal of 3119422752 is 2572249113.

It can be written as a sum of positive squares in 2 ways, for example, as 3037773456 + 81649296 = 55116^2 + 9036^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8668 + ... + 79460.

Almost surely, 23119422752 is an apocalyptic number.

3119422752 is a gapful number since it is divisible by the number (32) 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 3119422752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856963958).

3119422752 is an abundant number, since it is smaller than the sum of its proper divisors (6594505164).

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

3119422752 is a wasteful number, since it uses less digits than its factorization.

3119422752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70832 (or 70815 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3119422752 is about 55851.7927375657. The cubic root of 3119422752 is about 1461.1385926568.

The spelling of 3119422752 in words is "three billion, one hundred nineteen million, four hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5508 7344 11016 14688 22032 44064 70793 141586 212379 283172 424758 566344 637137 849516 1132688 1203481 1274274 1699032 1911411 2265376 2406962 2548548 3398064 3610443 3822822 4813924 5097096 5734233 6796128 7220886 7645644 9627848 10194192 10831329 11468466 14441772 15291288 19255696 20388384 21662658 22936932 28883544 30582576 32493987 38511392 43325316 45873864 57767088 61165152 64987974 86650632 91747728 97481961 115534176 129975948 173301264 183495456 194963922 259951896 346602528 389927844 519903792 779855688 1039807584 1559711376 3119422752