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2874460164 = 22317291313709
BaseRepresentation
bin1010101101010100…
…1100100000000100
321102022210201001120
42223111030200010
521341330211124
61153121353540
7131142336222
oct25325144004
97368721046
102874460164
111245615514
126827988b0
1336a69ac04
141d3a87b12
1511c546d79
hexab54c804

2874460164 has 96 divisors (see below), whose sum is σ = 7404566400. Its totient is φ = 863815680.

The previous prime is 2874460153. The next prime is 2874460177. The reversal of 2874460164 is 4610644782.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773142 + ... + 776850.

It is an arithmetic number, because the mean of its divisors is an integer number (77130900).

Almost surely, 22874460164 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 2874460164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702283200).

2874460164 is an abundant number, since it is smaller than the sum of its proper divisors (4530106236).

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

2874460164 is a wasteful number, since it uses less digits than its factorization.

2874460164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2874460164 is about 53613.9922408321. The cubic root of 2874460164 is about 1421.8444859911.

The spelling of 2874460164 in words is "two billion, eight hundred seventy-four million, four hundred sixty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 131 174 204 262 348 393 493 524 786 986 1479 1572 1972 2227 2958 3709 3799 4454 5916 6681 7418 7598 8908 11127 11397 13362 14836 15196 22254 22794 26724 44508 45588 63053 64583 107561 126106 129166 189159 193749 215122 252212 258332 322683 378318 387498 430244 485879 645366 756636 774996 971758 1290732 1457637 1828537 1943516 2915274 3657074 5485611 5830548 7314148 8259943 10971222 14090491 16519886 21942444 24779829 28180982 33039772 42271473 49559658 56361964 84542946 99119316 169085892 239538347 479076694 718615041 958153388 1437230082 2874460164