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2002910967112 = 231189211092591
BaseRepresentation
bin11101001001010110110…
…010111111010101001000
321002110212022100022010211
4131021112302333111020
5230303430201421422
64132042525050504
7264464000213446
oct35112662772510
97073768308124
102002910967112
11702480030530
122842169b6a34
13116b48674c13
146cd2731bb96
1537178836577
hex1d256cbf548

2002910967112 has 96 divisors (see below), whose sum is σ = 4148749497600. Its totient is φ = 899025881600.

The previous prime is 2002910967089. The next prime is 2002910967133. The reversal of 2002910967112 is 2117690192002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773024937 + ... + 773027527.

It is an arithmetic number, because the mean of its divisors is an integer number (43216140600).

Almost surely, 22002910967112 is an apocalyptic number.

2002910967112 is a gapful number since it is divisible by the number (22) 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 2002910967112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074374748800).

2002910967112 is an abundant number, since it is smaller than the sum of its proper divisors (2145838530488).

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

2002910967112 is a wasteful number, since it uses less digits than its factorization.

2002910967112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The spelling of 2002910967112 in words is "two trillion, two billion, nine hundred ten million, nine hundred sixty-seven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 89 178 356 712 979 1109 1958 2218 2591 3916 4436 5182 7832 7921 8872 10364 12199 15842 20728 24398 28501 31684 48796 57002 63368 87131 97592 98701 114004 174262 197402 228008 230599 348524 394804 461198 697048 789608 922396 1085711 1844792 2171422 2536589 2873419 4342844 5073178 5746838 8685688 8784389 10146356 11493676 17568778 20292712 20523311 22987352 31607609 35137556 41046622 63215218 70275112 82093244 96628279 126430436 164186488 193256558 225756421 252860872 255734291 386513116 451512842 511468582 773026232 903025684 1022937164 1806051368 2045874328 2813077201 5626154402 11252308804 22504617608 22760351899 45520703798 91041407596 182082815192 250363870889 500727741778 1001455483556 2002910967112