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42677132580 = 223652927101
BaseRepresentation
bin100111101111110000…
…010101110100100100
311002011020112222000000
4213233300111310210
51144400321220310
631334451021300
73040402433025
oct475760256444
9132136488000
1042677132580
1117110146405
12833059a830
1340418c0694
1420cbd6ac4c
15119ba514c0
hex9efc15d24

42677132580 has 84 divisors (see below), whose sum is σ = 134371544412. Its totient is φ = 11380564800.

The previous prime is 42677132543. The next prime is 42677132581. The reversal of 42677132580 is 8523177624.

42677132580 is a `hidden beast` number, since 4 + 2 + 67 + 7 + 1 + 3 + 2 + 580 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7929190116 + 34747942464 = 89046^2 + 186408^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42677132581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1448971 + ... + 1478130.

It is an arithmetic number, because the mean of its divisors is an integer number (1599661243).

Almost surely, 242677132580 is an apocalyptic number.

It is an amenable number.

42677132580 is an abundant number, since it is smaller than the sum of its proper divisors (91694411832).

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

42677132580 is a wasteful number, since it uses less digits than its factorization.

42677132580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927128 (or 2927111 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 42677132580 in words is "forty-two billion, six hundred seventy-seven million, one hundred thirty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 2927101 5854202 8781303 11708404 14635505 17562606 26343909 29271010 35125212 43906515 52687818 58542020 79031727 87813030 105375636 131719545 158063454 175626060 237095181 263439090 316126908 395158635 474190362 526878180 711285543 790317270 948380724 1185475905 1422571086 1580634540 2133856629 2370951810 2845142172 3556427715 4267713258 4741903620 7112855430 8535426516 10669283145 14225710860 21338566290 42677132580