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56476345480072 = 23717296659307201
BaseRepresentation
bin11001101011101011011001…
…00000101011001110001000
321101222002022121202102010221
430311311230200223032020
524400302023420330242
6320040512553115424
714616165326622010
oct1465655440531610
9241862277672127
1056476345480072
1116aa4535763011
1264015b19b8b74
13256890936728b
14dd3680c32c40
1567e12cc2e167
hex335d6c82b388

56476345480072 has 128 divisors (see below), whose sum is σ = 132578552736000. Its totient is φ = 21991469875200.

The previous prime is 56476345480069. The next prime is 56476345480183. The reversal of 56476345480072 is 27008454367465.

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, 183688072 + ... + 183995272.

It is an arithmetic number, because the mean of its divisors is an integer number (1035769943250).

Almost surely, 256476345480072 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 56476345480072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66289276368000).

56476345480072 is an abundant number, since it is smaller than the sum of its proper divisors (76102207255928).

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

56476345480072 is a wasteful number, since it uses less digits than its factorization.

56476345480072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313919 (or 313915 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 61.

The spelling of 56476345480072 in words is "fifty-six trillion, four hundred seventy-six billion, three hundred forty-five million, four hundred eighty thousand, seventy-two".

Divisors: 1 2 4 7 8 14 17 28 29 34 56 58 68 116 119 136 203 232 238 406 476 493 812 952 986 1624 1972 3451 3944 6659 6902 13318 13804 26636 27608 46613 53272 93226 113203 186452 193111 226406 307201 372904 386222 452812 614402 772444 792421 905624 1228804 1351777 1544888 1584842 2150407 2457608 2703554 3169684 3282887 4300814 5222417 5407108 6339368 6565774 8601628 8908829 10444834 10814216 13131548 17203256 17817658 20889668 22980209 26263096 35635316 36556919 41779336 45960418 62361803 71270632 73113838 91920836 124723606 146227676 151450093 183841672 249447212 292455352 302900186 498894424 605800372 1060150651 1211600744 2045651459 2120301302 4091302918 4240602604 8182605836 8481205208 14319560213 16365211672 28639120426 34776074803 57278240852 59323892311 69552149606 114556481704 118647784622 139104299212 237295569244 243432523621 278208598424 415267246177 474591138488 486865047242 830534492354 973730094484 1008506169287 1661068984708 1947460188968 2017012338574 3322137969416 4034024677148 7059543185009 8068049354296 14119086370018 28238172740036 56476345480072