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42830672544 = 25321113519783
BaseRepresentation
bin100111111000111010…
…000011001010100000
311002112221110121020100
4213320322003022200
51200204123010134
631402013542400
73044245465302
oct477072031240
9132487417210
1042830672544
1117189886240
128373aa4a00
13406765b92a
1421044d7972
1511aa27e999
hex9f8e832a0

42830672544 has 72 divisors (see below), whose sum is σ = 132872437152. Its totient is φ = 12978990720.

The previous prime is 42830672497. The next prime is 42830672561. The reversal of 42830672544 is 44527603824.

It is a happy number.

42830672544 is a `hidden beast` number, since 4 + 2 + 8 + 30 + 6 + 72 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 42830672544.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6756724 + ... + 6763059.

It is an arithmetic number, because the mean of its divisors is an integer number (1845450516).

Almost surely, 242830672544 is an apocalyptic number.

42830672544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42830672544 is an abundant number, since it is smaller than the sum of its proper divisors (90041764608).

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

42830672544 is a wasteful number, since it uses less digits than its factorization.

42830672544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13519810 (or 13519799 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 42830672544 in words is "forty-two billion, eight hundred thirty million, six hundred seventy-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 13519783 27039566 40559349 54079132 81118698 108158264 121678047 148717613 162237396 216316528 243356094 297435226 324474792 432633056 446152839 486712188 594870452 648949584 892305678 973424376 1189740904 1297899168 1338458517 1784611356 1946848752 2379481808 2676917034 3569222712 3893697504 4758963616 5353834068 7138445424 10707668136 14276890848 21415336272 42830672544