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56486268465 = 35112412712801
BaseRepresentation
bin110100100110110110…
…000000111000110001
312101210121212202020020
4310212312000320301
51411140441042330
641541024434053
74036532234304
oct644666007061
9171717782206
1056486268465
1121a57031600
12ab45178929
1354327c36c3
142a3bd5cb3b
151709032210
hexd26d80e31

56486268465 has 96 divisors (see below), whose sum is σ = 102176073216. Its totient is φ = 26611200000.

The previous prime is 56486268463. The next prime is 56486268511.

56486268465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56486268465 - 21 = 56486268463 is a prime.

It is a super-3 number, since 3×564862684653 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56486268399 and 56486268408.

It is not an unprimeable number, because it can be changed into a prime (56486268463) 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, 20165065 + ... + 20167865.

It is an arithmetic number, because the mean of its divisors is an integer number (1064334096).

Almost surely, 256486268465 is an apocalyptic number.

56486268465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56486268465 is a deficient number, since it is larger than the sum of its proper divisors (45689804751).

56486268465 is a wasteful number, since it uses less digits than its factorization.

56486268465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3132 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 60.

The spelling of 56486268465 in words is "fifty-six billion, four hundred eighty-six million, two hundred sixty-eight thousand, four hundred sixty-five".

Divisors: 1 3 5 11 15 33 41 55 121 123 165 205 271 363 451 605 615 813 1353 1355 1815 2255 2801 2981 4065 4961 6765 8403 8943 11111 14005 14883 14905 24805 30811 32791 33333 42015 44715 55555 74415 92433 98373 114841 122221 154055 163955 166665 338921 344523 366663 462165 491865 574205 611105 759071 1016763 1263251 1344431 1694605 1722615 1833315 2277213 3789753 3795355 4033293 5083815 6316255 6722155 8349781 11386065 13895761 18948765 20166465 25049343 31121911 41687283 41748905 69478805 91847591 93365733 125246715 155609555 208436415 275542773 342341021 459237955 466828665 1027023063 1377713865 1711705105 3765751231 5135115315 11297253693 18828756155 56486268465