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2664311100656 = 242331769303703
BaseRepresentation
bin100110110001010101010…
…100010001010011110000
3100102201001102101022112012
4212301111110101103300
5322123002120210111
65355545001222052
7363330053456252
oct46612524212360
910381042338465
102664311100656
11937a23181147
12370440491928
13164321b56a9a
1492d4bd9dcd2
1549488cc648b
hex26c555114f0

2664311100656 has 80 divisors (see below), whose sum is σ = 5567550320640. Its totient is φ = 1231523758080.

The previous prime is 2664311100623. The next prime is 2664311100673. The reversal of 2664311100656 is 6560011134662.

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, 8620901 + ... + 8924603.

It is an arithmetic number, because the mean of its divisors is an integer number (69594379008).

Almost surely, 22664311100656 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 2664311100656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783775160320).

2664311100656 is an abundant number, since it is smaller than the sum of its proper divisors (2903239219984).

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

2664311100656 is a wasteful number, since it uses less digits than its factorization.

2664311100656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304534 (or 304528 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 2664311100656 in words is "two trillion, six hundred sixty-four billion, three hundred eleven million, one hundred thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 368 496 713 769 1426 1538 2852 3076 5704 6152 11408 12304 17687 23839 35374 47678 70748 95356 141496 190712 282992 303703 381424 548297 607406 1096594 1214812 2193188 2429624 4386376 4859248 6985169 8772752 9414793 13970338 18829586 27940676 37659172 55881352 75318344 111762704 150636688 216540239 233547607 433080478 467095214 866160956 934190428 1732321912 1868380856 3464643824 3736761712 5371594961 7239975817 10743189922 14479951634 21486379844 28959903268 42972759688 57919806536 85945519376 115839613072 166519443791 333038887582 666077775164 1332155550328 2664311100656