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46855144155864 = 233118091019321523
BaseRepresentation
bin10101010011101010100000…
…01110010010101011011000
320010220022022120001200001110
422221311100032102223120
522120133313400441424
6243352542302220320
712604113102666522
oct1251652016225330
9203808276050043
1046855144155864
1113a25178401750
125308a10b846a0
13201b562306345
14b7db30228a12
15563c2326ac29
hex2a9d50392ad8

46855144155864 has 128 divisors (see below), whose sum is σ = 127963210579200. Its totient is φ = 14178927759360.

The previous prime is 46855144155857. The next prime is 46855144155913.

46855144155864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 46855144155795 and 46855144155804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2176969407 + ... + 2176990929.

It is an arithmetic number, because the mean of its divisors is an integer number (999712582650).

Almost surely, 246855144155864 is an apocalyptic number.

46855144155864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46855144155864 is an abundant number, since it is smaller than the sum of its proper divisors (81108066423336).

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

46855144155864 is a wasteful number, since it uses less digits than its factorization.

46855144155864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32545 (or 32541 counting only the distinct ones).

The product of its digits is 368640000, while the sum is 66.

The spelling of 46855144155864 in words is "forty-six trillion, eight hundred fifty-five billion, one hundred forty-four million, one hundred fifty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 809 1618 2427 3236 4854 6472 8899 9708 10193 17798 19416 20386 21523 26697 30579 35596 40772 43046 53394 61158 64569 71192 81544 86092 106788 112123 122316 129138 172184 213576 224246 236753 244632 258276 336369 448492 473506 516552 672738 710259 896984 947012 1345476 1420518 1894024 2690952 2841036 5682072 8246137 16492274 17412107 24738411 32984548 34824214 49476822 52236321 65969096 69648428 90707507 98953644 104472642 139296856 181415014 191533177 197907288 208945284 219383939 272122521 362830028 383066354 417890568 438767878 544245042 574599531 658151817 725660056 766132708 877535756 1088490084 1149199062 1316303634 1532265416 1755071512 2176980168 2298398124 2413223329 2632607268 4596796248 4826446658 5265214536 7239669987 9652893316 14479339974 19305786632 28958679948 57917359896 177481606651 354963213302 532444819953 709926426604 1064889639906 1419852853208 1952297673161 2129779279812 3904595346322 4259558559624 5856893019483 7809190692644 11713786038966 15618381385288 23427572077932 46855144155864