Search a number
-
+
56223268992384 = 2731331363312067
BaseRepresentation
bin11001100100010011111111…
…11110011111010110000000
321101001220002021200210022020
430302021333332133112000
524332130223330224014
6315324340241441440
714561666006152254
oct1462117776372600
9241056067623266
1056223268992384
1116a0717767705a
126380543040280
13254aaa6ac3390
14dc53139c8264
15677769cb31a9
hex33227ff9f580

56223268992384 has 128 divisors (see below), whose sum is σ = 166019082593280. Its totient is φ = 16741420001280.

The previous prime is 56223268992343. The next prime is 56223268992389. The reversal of 56223268992384 is 48329986232265.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×562232689923842 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56223268992389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181501282 + ... + 181810785.

It is an arithmetic number, because the mean of its divisors is an integer number (1297024082760).

Almost surely, 256223268992384 is an apocalyptic number.

It is an amenable number.

56223268992384 is an abundant number, since it is smaller than the sum of its proper divisors (109795813600896).

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

56223268992384 is a wasteful number, since it uses less digits than its factorization.

56223268992384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363312128 (or 363312116 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 69.

The spelling of 56223268992384 in words is "fifty-six trillion, two hundred twenty-three billion, two hundred sixty-eight million, nine hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1664 1984 2418 2496 2976 3224 3968 4836 4992 5952 6448 9672 11904 12896 19344 25792 38688 51584 77376 154752 363312067 726624134 1089936201 1453248268 2179872402 2906496536 4359744804 4723056871 5812993072 8719489608 9446113742 11262674077 11625986144 14169170613 17438979216 18892227484 22525348154 23251972288 28338341226 33788022231 34877958432 37784454968 45050696308 46503944576 56676682452 67576044462 69755916864 75568909936 90101392616 113353364904 135152088924 139511833728 146414763001 151137819872 180202785232 226706729808 270304177848 292829526002 302275639744 360405570464 439244289003 453413459616 540608355696 585659052004 604551279488 720811140928 878488578006 906826919232 1081216711392 1171318104008 1441622281856 1756977156012 1813653838464 2162433422784 2342636208016 3513954312024 4324866845568 4685272416032 7027908624048 9370544832064 14055817248096 18741089664128 28111634496192 56223268992384