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3312940663456 = 254157718712339
BaseRepresentation
bin110000001101011010101…
…001101100001010100000
3102201201021112100010012221
4300031122221230022200
5413234400302212311
611013535520000424
7461231521002304
oct60153251541240
912651245303187
103312940663456
1110680126aaa66
124560a1160114
131b0541656508
14b64c0959d04
155b29d033671
hex3035aa6c2a0

3312940663456 has 96 divisors (see below), whose sum is σ = 6699453546240. Its totient is φ = 1611716198400.

The previous prime is 3312940663451. The next prime is 3312940663477. The reversal of 3312940663456 is 6543660492133.

It is not an unprimeable number, because it can be changed into a prime (3312940663451) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1416390735 + ... + 1416393073.

It is an arithmetic number, because the mean of its divisors is an integer number (69785974440).

Almost surely, 23312940663456 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 3312940663456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349726773120).

3312940663456 is an abundant number, since it is smaller than the sum of its proper divisors (3386512882784).

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

3312940663456 is a wasteful number, since it uses less digits than its factorization.

3312940663456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 52.

The spelling of 3312940663456 in words is "three trillion, three hundred twelve billion, nine hundred forty million, six hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 82 164 328 577 656 1154 1312 1871 2308 2339 3742 4616 4678 7484 9232 9356 14968 18464 18712 23657 29936 37424 47314 59872 74848 76711 94628 95899 153422 189256 191798 306844 378512 383596 613688 757024 767192 1079567 1227376 1349603 1534384 2159134 2454752 2699206 3068768 4318268 4376269 5398412 8636536 8752538 10796824 17273072 17505076 21593648 34546144 35010152 43187296 44262247 55333723 70020304 88524494 110667446 140040608 177048988 179427029 221334892 354097976 358854058 442669784 708195952 717708116 885339568 1416391904 1435416232 1770679136 2525107213 2870832464 5050214426 5741664928 10100428852 20200857704 40401715408 80803430816 103529395733 207058791466 414117582932 828235165864 1656470331728 3312940663456