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42641622540 = 223251121536173
BaseRepresentation
bin100111101101101000…
…111000011000001100
311002001202201212101100
4213231220320120030
51144312223410130
631331141543100
73036461545146
oct475550703014
9132052655340
1042641622540
11170a20a2170
128320714a90
13403743971a
1420c7365c96
151198889c60
hex9eda3860c

42641622540 has 72 divisors (see below), whose sum is σ = 141105012048. Its totient is φ = 10337362560.

The previous prime is 42641622521. The next prime is 42641622571. The reversal of 42641622540 is 4522614624.

42641622540 is a `hidden beast` number, since 4 + 2 + 641 + 6 + 2 + 2 + 5 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42641622495 and 42641622504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10766107 + ... + 10770066.

It is an arithmetic number, because the mean of its divisors is an integer number (1959791834).

Almost surely, 242641622540 is an apocalyptic number.

It is an amenable number.

42641622540 is an abundant number, since it is smaller than the sum of its proper divisors (98463389508).

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

42641622540 is a wasteful number, since it uses less digits than its factorization.

42641622540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21536199 (or 21536194 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 42641622540 in words is "forty-two billion, six hundred forty-one million, six hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 21536173 43072346 64608519 86144692 107680865 129217038 193825557 215361730 236897903 258434076 323042595 387651114 430723460 473795806 646085190 710693709 775302228 947591612 969127785 1184489515 1292170380 1421387418 1938255570 2132081127 2368979030 2842774836 3553468545 3876511140 4264162254 4737958060 7106937090 8528324508 10660405635 14213874180 21320811270 42641622540