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476363428033064 = 2311213172130985089
BaseRepresentation
bin110110001010000000000000…
…0111010010111001000101000
32022110122220021100101101122112
41230110000000322113020220
5444414214300034024224
64405050200541341452
7202224056552261345
oct15424000072271050
92273586240341575
10476363428033064
111288696603a0500
1245516510267888
13175a5b5612ca50
14858c181c7b7cc
153a1148c91230e
hex1b14000e97228

476363428033064 has 144 divisors (see below), whose sum is σ = 1123132964055900. Its totient is φ = 188115543982080.

The previous prime is 476363428032977. The next prime is 476363428033099. The reversal of 476363428033064 is 460330824363674.

It can be written as a sum of positive squares in 6 ways, for example, as 128263733828164 + 348099694204900 = 11325358^2 + 18657430^2 .

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 476363428032994 and 476363428033012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61855769 + ... + 69129320.

Almost surely, 2476363428033064 is an apocalyptic number.

476363428033064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

476363428033064 is an abundant number, since it is smaller than the sum of its proper divisors (646769536022836).

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

476363428033064 is a wasteful number, since it uses less digits than its factorization.

476363428033064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130985164 (or 130985132 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 59.

The spelling of 476363428033064 in words is "four hundred seventy-six trillion, three hundred sixty-three billion, four hundred twenty-eight million, thirty-three thousand, sixty-four".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 121 136 143 187 221 242 286 289 374 442 484 572 578 748 884 968 1144 1156 1496 1573 1768 2057 2312 2431 3146 3179 3757 4114 4862 6292 6358 7514 8228 9724 12584 12716 15028 16456 19448 25432 26741 30056 34969 41327 53482 69938 82654 106964 139876 165308 213928 279752 330616 454597 909194 1818388 3636776 130985089 261970178 523940356 1047880712 1440835979 1702806157 2226746513 2881671958 3405612314 4453493026 5763343916 6811224628 8906986052 11526687832 13622449256 15849195769 17813972104 18730867727 24494211643 28947704669 31698391538 37461735454 37854690721 48988423286 57895409338 63396783076 74923470908 75709381442 97976846572 115790818676 126793566152 149846941816 151418762884 195953693144 206039544997 231581637352 269436328073 302837525768 318424751359 412079089994 416401597931 492110979373 538872656146 636849502718 824158179988 832803195862 984221958746 1077745312292 1273699005436 1648316359976 1665606391724 1968443917492 2155490624584 2547398010872 3331212783448 3502672264949 3936887834984 4580417577241 5413220773103 7005344529898 9160835154482 10826441546206 14010689059796 18321670308964 21652883092412 28021378119592 36643340617928 43305766184824 59545428504133 119090857008266 238181714016532 476363428033064