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56433261336 = 233174713812131
BaseRepresentation
bin110100100011101011…
…110011101100011000
312101122221010201010020
4310203223303230120
51411033403330321
641531452350440
74035316543464
oct644353635430
9171587121106
1056433261336
1121a2a117561
12ab2b475420
13542482463a
142a34cc14a4
1517045614c6
hexd23af3b18

56433261336 has 128 divisors (see below), whose sum is σ = 152742620160. Its totient is φ = 17307187200.

The previous prime is 56433261329. The next prime is 56433261337. The reversal of 56433261336 is 63316233465.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56433261337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26480991 + ... + 26483121.

It is an arithmetic number, because the mean of its divisors is an integer number (1193301720).

Almost surely, 256433261336 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 56433261336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76371310080).

56433261336 is an abundant number, since it is smaller than the sum of its proper divisors (96309358824).

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

56433261336 is a wasteful number, since it uses less digits than its factorization.

56433261336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3581 counting only the distinct ones).

The product of its digits is 699840, while the sum is 42.

The spelling of 56433261336 in words is "fifty-six billion, four hundred thirty-three million, two hundred sixty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 282 376 408 564 799 1128 1381 1598 2131 2397 2762 3196 4143 4262 4794 5524 6392 6393 8286 8524 9588 11048 12786 16572 17048 19176 23477 25572 33144 36227 46954 51144 64907 70431 72454 93908 100157 108681 129814 140862 144908 187816 194721 200314 217362 259628 281724 289816 300471 389442 400628 434724 519256 563448 600942 778884 801256 869448 1103419 1201884 1557768 1702669 2206838 2403768 2942911 3310257 3405338 4413676 5108007 5885822 6620514 6810676 8827352 8828733 10216014 11771644 13241028 13621352 17657466 20432028 23543288 26482056 35314932 40864056 50029487 70629864 100058974 138316817 150088461 200117948 276633634 300176922 400235896 414950451 553267268 600353844 829900902 1106534536 1200707688 1659801804 2351385889 3319603608 4702771778 7054157667 9405543556 14108315334 18811087112 28216630668 56433261336