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56504406266334 = 233131747100739183
BaseRepresentation
bin11001101100011111101010…
…00100000101000111011110
321102001202202020002001101000
430312033311010011013132
524401232011001010314
6320101433233131130
714621210601436335
oct1466176504050736
9242052666061330
1056504406266334
11170054252a8064
126406b233b9aa6
13256b45ba48b10
14dd4b838c6d1c
1567ec214a1209
hex3363f51051de

56504406266334 has 128 divisors (see below), whose sum is σ = 146224940359680. Its totient is φ = 16015112197632.

The previous prime is 56504406266299. The next prime is 56504406266393. The reversal of 56504406266334 is 43366260440565.

56504406266334 is a `hidden beast` number, since 5 + 6 + 5 + 0 + 4 + 4 + 0 + 626 + 6 + 3 + 3 + 4 = 666.

It is a super-2 number, since 2×565044062663342 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

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, 49808694 + ... + 50930489.

It is an arithmetic number, because the mean of its divisors is an integer number (1142382346560).

Almost surely, 256504406266334 is an apocalyptic number.

56504406266334 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

56504406266334 is an abundant number, since it is smaller than the sum of its proper divisors (89720534093346).

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

56504406266334 is a wasteful number, since it uses less digits than its factorization.

56504406266334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100739271 (or 100739265 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

The spelling of 56504406266334 in words is "fifty-six trillion, five hundred four billion, four hundred six million, two hundred sixty-six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 47 51 54 78 94 102 117 141 153 221 234 282 306 351 423 442 459 611 663 702 799 846 918 1222 1269 1326 1598 1833 1989 2397 2538 3666 3978 4794 5499 5967 7191 10387 10998 11934 14382 16497 20774 21573 31161 32994 43146 62322 93483 186966 280449 560898 100739183 201478366 302217549 604435098 906652647 1309609379 1712566111 1813305294 2619218758 2719957941 3425132222 3928828137 4734741601 5137698333 5439915882 7857656274 9469483202 10275396666 11786484411 14204224803 15413094999 22263359443 23572968822 28408449606 30826189998 35359453233 42612674409 44526718886 46239284997 61551640813 66790078329 70718906466 80490607217 85225348818 92478569994 123103281626 127838023227 133580156658 160981214434 184654922439 200370234987 241471821651 255676046454 369309844878 400740469974 482943643302 553964767317 601110704961 724415464953 1046377893821 1107929534634 1202221409922 1448830929906 1661894301951 2092755787642 2173246394859 3139133681463 3323788603902 4346492789718 6278267362926 9417401044389 18834802088778 28252203133167 56504406266334