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56356253545405 = 511173115112876323
BaseRepresentation
bin11001101000001011101100…
…11110010011001110111101
321101112121100012121000222211
430310011312132103032331
524341320101401423110
6315505412214140421
714604414333205342
oct1464056636231675
9241477305530884
1056356253545405
1116a58609a16030
1263a2277351711
13255a4ab1014c8
14dcb92b5d87c9
1567ae4eb6898a
hex3341767933bd

56356253545405 has 64 divisors (see below), whose sum is σ = 81169050157056. Its totient is φ = 37083807360000.

The previous prime is 56356253545313. The next prime is 56356253545433. The reversal of 56356253545405 is 50454535265365.

It is not a de Polignac number, because 56356253545405 - 235 = 56321893807037 is a prime.

It is a super-2 number, since 2×563562535454052 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 56356253545405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2061427 + ... + 10814896.

It is an arithmetic number, because the mean of its divisors is an integer number (1268266408704).

Almost surely, 256356253545405 is an apocalyptic number.

56356253545405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56356253545405 is a deficient number, since it is larger than the sum of its proper divisors (24812796611651).

56356253545405 is a wasteful number, since it uses less digits than its factorization.

56356253545405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12876538.

The product of its (nonzero) digits is 162000000, while the sum is 58.

The spelling of 56356253545405 in words is "fifty-six trillion, three hundred fifty-six billion, two hundred fifty-three million, five hundred forty-five thousand, four hundred five".

Divisors: 1 5 11 17 31 55 85 151 155 187 341 527 755 935 1661 1705 2567 2635 4681 5797 8305 12835 23405 28237 28985 51491 79577 141185 257455 397885 875347 4376735 12876323 64381615 141639553 218897491 399166013 708197765 1094487455 1944324773 1995830065 2407872401 4390826143 6785822221 9721623865 12039362005 21387572503 21954130715 33053521141 33929111105 60274067963 74644044431 106937862515 165267605705 301370339815 363588732551 373220222155 663014747593 1024659155371 1817943662755 3315073737965 5123295776855 11271250709081 56356253545405