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83475633657438 = 232111724799653493
BaseRepresentation
bin10010111110101110101111…
…011111011101011001011110
3101221120012012102202120002200
4102332232233133131121132
541420131044204014223
6453312102100032330
723403626006552361
oct2276565737353136
9357505172676080
1083475633657438
11246638a9aa3520
1294421789926a6
133776945657bb9
1416883569520d8
1599b5d5a58a43
hex4bebaf7dd65e

83475633657438 has 48 divisors (see below), whose sum is σ = 208912281033456. Its totient is φ = 23807667352320.

The previous prime is 83475633657433. The next prime is 83475633657461.

83475633657438 is a `hidden beast` number, since 8 + 3 + 4 + 7 + 563 + 3 + 6 + 57 + 4 + 3 + 8 = 666.

83475633657438 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83475633657433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12399823381 + ... + 12399830112.

It is an arithmetic number, because the mean of its divisors is an integer number (4352339188197).

Almost surely, 283475633657438 is an apocalyptic number.

83475633657438 is an abundant number, since it is smaller than the sum of its proper divisors (125436647376018).

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

83475633657438 is a wasteful number, since it uses less digits than its factorization.

83475633657438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24799653529 (or 24799653526 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 72.

The spelling of 83475633657438 in words is "eighty-three trillion, four hundred seventy-five billion, six hundred thirty-three million, six hundred fifty-seven thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 24799653493 49599306986 74398960479 148797920958 223196881437 272796188423 421594109381 446393762874 545592376846 818388565269 843188218762 1264782328143 1636777130538 2455165695807 2529564656286 3794346984429 4637535203191 4910331391614 7588693968858 9275070406382 13912605609573 27825211219146 41737816828719 83475633657438