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320243313096 = 23337792681027
BaseRepresentation
bin1001010100011111111…
…11010010100111001000
31010121121022021212211000
410222033333102213020
520221324242004341
6403041233335000
732064633151020
oct4521777224710
91117538255730
10320243313096
111138a6002023
1252094a07460
1324277a47395
14116dd882a80
1584e498c8b6
hex4a8ffd29c8

320243313096 has 128 divisors (see below), whose sum is σ = 1029514752000. Its totient is φ = 90339852096.

The previous prime is 320243313083. The next prime is 320243313101. The reversal of 320243313096 is 690313342023.

320243313096 is a `hidden beast` number, since 3 + 2 + 0 + 2 + 433 + 130 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 320243313096.

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, 1221066 + ... + 1459961.

It is an arithmetic number, because the mean of its divisors is an integer number (8043084000).

Almost surely, 2320243313096 is an apocalyptic number.

320243313096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

320243313096 is an abundant number, since it is smaller than the sum of its proper divisors (709271438904).

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

320243313096 is a wasteful number, since it uses less digits than its factorization.

320243313096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681128 (or 2681118 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 320243313096 in words is "three hundred twenty billion, two hundred forty-three million, three hundred thirteen thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 79 84 108 126 158 168 189 216 237 252 316 378 474 504 553 632 711 756 948 1106 1422 1512 1659 1896 2133 2212 2844 3318 4266 4424 4977 5688 6636 8532 9954 13272 14931 17064 19908 29862 39816 59724 119448 2681027 5362054 8043081 10724108 16086162 18767189 21448216 24129243 32172324 37534378 48258486 56301567 64344648 72387729 75068756 96516972 112603134 144775458 150137512 168904701 193033944 211801133 225206268 289550916 337809402 423602266 450412536 506714103 579101832 635403399 675618804 847204532 1013428206 1270806798 1351237608 1482607931 1694409064 1906210197 2026856412 2541613596 2965215862 3812420394 4053712824 4447823793 5083227192 5718630591 5930431724 7624840788 8895647586 11437261182 11860863448 13343471379 15249681576 17791295172 22874522364 26686942758 35582590344 40030414137 45749044728 53373885516 80060828274 106747771032 160121656548 320243313096