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34992160784 = 24713711811931
BaseRepresentation
bin100000100101101100…
…100000000000010000
310100022122220221112222
4200211230200000100
51033130443121114
624024123240212
72346065313320
oct404554400020
9110278827488
1034992160784
1113927187349
126946979068
1333b870a7a9
14199d469280
15d9c03298e
hex825b20010

34992160784 has 80 divisors (see below), whose sum is σ = 78154747776. Its totient is φ = 14866867200.

The previous prime is 34992160781. The next prime is 34992160793. The reversal of 34992160784 is 48706129943.

It is not an unprimeable number, because it can be changed into a prime (34992160781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18120299 + ... + 18122229.

Almost surely, 234992160784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34992160784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39077373888).

34992160784 is an abundant number, since it is smaller than the sum of its proper divisors (43162586992).

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

34992160784 is a wasteful number, since it uses less digits than its factorization.

34992160784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 34992160784 in words is "thirty-four billion, nine hundred ninety-two million, one hundred sixty thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 548 959 1096 1181 1918 1931 2192 2362 3836 3862 4724 7672 7724 8267 9448 13517 15344 15448 16534 18896 27034 30896 33068 54068 66136 108136 132272 161797 216272 264547 323594 529094 647188 1058188 1132579 1294376 1851829 2116376 2265158 2280511 2588752 3703658 4232752 4530316 4561022 7407316 9060632 9122044 14814632 15963577 18121264 18244088 29629264 31927154 36488176 63854308 127708616 255417232 312430007 624860014 1249720028 2187010049 2499440056 4374020098 4998880112 8748040196 17496080392 34992160784