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2829995136 = 273210632311
BaseRepresentation
bin1010100010101110…
…0100110010000000
321022020010122111200
42220223210302000
521243434321021
61144452341200
7130062363453
oct25053446200
97266118450
102829995136
111222505261
1266b914800
133613ccc47
141cbbd149a
151186b2126
hexa8ae4c80

2829995136 has 96 divisors (see below), whose sum is σ = 8154793920. Its totient is φ = 942036480.

The previous prime is 2829995123. The next prime is 2829995173. The reversal of 2829995136 is 6315999282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1223421 + ... + 1225731.

It is an arithmetic number, because the mean of its divisors is an integer number (84945770).

Almost surely, 22829995136 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 2829995136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077396960).

2829995136 is an abundant number, since it is smaller than the sum of its proper divisors (5324798784).

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

2829995136 is a wasteful number, since it uses less digits than its factorization.

2829995136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3379 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 2829995136 is about 53197.6985968378. The cubic root of 2829995136 is about 1414.4748493043.

The spelling of 2829995136 in words is "two billion, eight hundred twenty-nine million, nine hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1063 1152 2126 2311 3189 4252 4622 6378 6933 8504 9244 9567 12756 13866 17008 18488 19134 20799 25512 27732 34016 36976 38268 41598 51024 55464 68032 73952 76536 83196 102048 110928 136064 147904 153072 166392 204096 221856 295808 306144 332784 408192 443712 612288 665568 887424 1224576 1331136 2456593 2662272 4913186 7369779 9826372 14739558 19652744 22109337 29479116 39305488 44218674 58958232 78610976 88437348 117916464 157221952 176874696 235832928 314443904 353749392 471665856 707498784 943331712 1414997568 2829995136