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6455813310336 = 273132356227471
BaseRepresentation
bin101110111110001110001…
…1101011000011110000000
3211212011120201200212010010
41131330130131120132000
51321233001201412321
621421432032104520
71234263033503445
oct135743435303600
924764521625103
106455813310336
112069993346a05
1288321a995140
1337aa1bc2cb50
1418466a7b59cc
15b2de5783676
hex5df1c758780

6455813310336 has 128 divisors (see below), whose sum is σ = 19270279203840. Its totient is φ = 1900038666240.

The previous prime is 6455813310319. The next prime is 6455813310361. The reversal of 6455813310336 is 6330133185546.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×64558133103362 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27998920 + ... + 28228551.

It is an arithmetic number, because the mean of its divisors is an integer number (150549056280).

Almost surely, 26455813310336 is an apocalyptic number.

It is an amenable number.

6455813310336 is an abundant number, since it is smaller than the sum of its proper divisors (12814465893504).

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

6455813310336 is a wasteful number, since it uses less digits than its factorization.

6455813310336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56227524 (or 56227512 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 6455813310336 in words is "six trillion, four hundred fifty-five billion, eight hundred thirteen million, three hundred ten thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 128 138 156 184 192 208 276 299 312 368 384 416 552 598 624 736 832 897 1104 1196 1248 1472 1664 1794 2208 2392 2496 2944 3588 4416 4784 4992 7176 8832 9568 14352 19136 28704 38272 57408 114816 56227471 112454942 168682413 224909884 337364826 449819768 674729652 730957123 899639536 1293231833 1349459304 1461914246 1799279072 2192871369 2586463666 2698918608 2923828492 3598558144 3879695499 4385742738 5172927332 5397837216 5847656984 7197116288 7759390998 8771485476 10345854664 10795674432 11695313968 15518781996 16812013829 17542970952 20691709328 21591348864 23390627936 31037563992 33624027658 35085941904 41383418656 46781255872 50436041487 62075127984 67248055316 70171883808 82766837312 93562511744 100872082974 124150255968 134496110632 140343767616 165533674624 201744165948 248300511936 268992221264 280687535232 403488331896 496601023872 537984442528 806976663792 1075968885056 1613953327584 2151937770112 3227906655168 6455813310336