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85525134408 = 23327414138847
BaseRepresentation
bin100111110100110110…
…0011111110001001000
322011202101121222112200
41033221230133301020
52400123413300113
6103142324240200
76115251435120
oct1175154376110
9264671558480
1085525134408
11332a878836a
12146aa240060
1380aca08c0c
1441d4895c80
1523585a5873
hex13e9b1fc48

85525134408 has 96 divisors (see below), whose sum is σ = 271177320960. Its totient is φ = 23839752960.

The previous prime is 85525134389. The next prime is 85525134503. The reversal of 85525134408 is 80443152558.

85525134408 is a `hidden beast` number, since 8 + 55 + 251 + 344 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2048760 + ... + 2090087.

It is an arithmetic number, because the mean of its divisors is an integer number (2824763760).

Almost surely, 285525134408 is an apocalyptic number.

It is an amenable number.

85525134408 is an abundant number, since it is smaller than the sum of its proper divisors (185652186552).

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

85525134408 is a wasteful number, since it uses less digits than its factorization.

85525134408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138907 (or 4138900 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 85525134408 in words is "eighty-five billion, five hundred twenty-five million, one hundred thirty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 984 1148 1476 1722 2296 2583 2952 3444 5166 6888 10332 20664 4138847 8277694 12416541 16555388 24833082 28971929 33110776 37249623 49666164 57943858 74499246 86915787 99332328 115887716 148998492 169692727 173831574 231775432 260747361 297996984 339385454 347663148 509078181 521494722 678770908 695326296 1018156362 1042989444 1187849089 1357541816 1527234543 2036312724 2085978888 2375698178 3054469086 3563547267 4072625448 4751396356 6108938172 7127094534 9502792712 10690641801 12217876344 14254189068 21381283602 28508378136 42762567204 85525134408