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42155156520 = 23325117097657
BaseRepresentation
bin100111010000101001…
…001010010000101000
311000210212100211110100
4213100221022100220
51142313210002040
631211003145400
73021433626651
oct472051122050
9130725324410
1042155156520
111697253a034
128205815260
133c8a7128c9
14207c8d4528
15116ace6b30
hex9d0a4a428

42155156520 has 48 divisors (see below), whose sum is σ = 137004259860. Its totient is φ = 11241374976.

The previous prime is 42155156507. The next prime is 42155156557. The reversal of 42155156520 is 2565155124.

42155156520 is a `hidden beast` number, since 4 + 2 + 1 + 551 + 56 + 52 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37194208164 + 4960948356 = 192858^2 + 70434^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58548469 + ... + 58549188.

Almost surely, 242155156520 is an apocalyptic number.

42155156520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42155156520 is an abundant number, since it is smaller than the sum of its proper divisors (94849103340).

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

42155156520 is a wasteful number, since it uses less digits than its factorization.

42155156520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117097674 (or 117097667 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 42155156520 in words is "forty-two billion, one hundred fifty-five million, one hundred fifty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 117097657 234195314 351292971 468390628 585488285 702585942 936781256 1053878913 1170976570 1405171884 1756464855 2107757826 2341953140 2810343768 3512929710 4215515652 4683906280 5269394565 7025859420 8431031304 10538789130 14051718840 21077578260 42155156520