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56314849437 = 32711534333541
BaseRepresentation
bin110100011100101000…
…000110100010011101
312101100200022202112100
4310130220012202131
51410313100140222
641512022355313
74032351215340
oct643450064235
9171320282470
1056314849437
112197929a990
12aab788bb39
135406135522
142a2329a457
1516e8e714ac
hexd1ca0689d

56314849437 has 96 divisors (see below), whose sum is σ = 103596869376. Its totient is φ = 28628121600.

The previous prime is 56314849421. The next prime is 56314849441. The reversal of 56314849437 is 73494841365.

56314849437 is a `hidden beast` number, since 5 + 6 + 3 + 148 + 494 + 3 + 7 = 666.

It is not a de Polignac number, because 56314849437 - 24 = 56314849421 is a prime.

It is a super-2 number, since 2×563148494372 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56314849637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15901887 + ... + 15905427.

It is an arithmetic number, because the mean of its divisors is an integer number (1079134056).

Almost surely, 256314849437 is an apocalyptic number.

It is an amenable number.

56314849437 is a deficient number, since it is larger than the sum of its proper divisors (47282019939).

56314849437 is a wasteful number, since it uses less digits than its factorization.

56314849437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4048 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 56314849437 in words is "fifty-six billion, three hundred fourteen million, eight hundred forty-nine thousand, four hundred thirty-seven".

Divisors: 1 3 7 9 11 21 33 53 63 77 99 159 231 371 433 477 583 693 1113 1299 1749 3031 3339 3541 3897 4081 4763 5247 9093 10623 12243 14289 22949 24787 27279 31869 33341 36729 38951 42867 68847 74361 100023 116853 160643 187673 206541 223083 252439 272657 300069 350559 481929 563019 757317 817971 1313711 1445787 1533253 1689057 1767073 2064403 2271951 2453913 3941133 4599759 5301219 6193209 10732771 11823399 13799277 14450821 15903657 16865783 18579627 32198313 43352463 50597349 81262409 96594939 118060481 130057389 151792047 243787227 354181443 568836863 731361681 893886499 1062544329 1706510589 2681659497 5119531767 6257205493 8044978491 18771616479 56314849437