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42156135164 = 221113193878923
BaseRepresentation
bin100111010000101100…
…111001001011111100
311000210221012112220102
4213100230321023330
51142313432311124
631211040140232
73021445144103
oct472054711374
9130727175812
1042156135164
1116973048330
128206007678
133c8a9961a0
14207caab03a
15116ae3baae
hex9d0b392fc

42156135164 has 48 divisors (see below), whose sum is σ = 91232292480. Its totient is φ = 16756943040.

The previous prime is 42156135139. The next prime is 42156135167. The reversal of 42156135164 is 46153165124.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42156135167) 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 15 ways as a sum of consecutive naturals, for example, 1928594 + ... + 1950329.

It is an arithmetic number, because the mean of its divisors is an integer number (1900672760).

Almost surely, 242156135164 is an apocalyptic number.

42156135164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42156135164 is an abundant number, since it is smaller than the sum of its proper divisors (49076157316).

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

42156135164 is a wasteful number, since it uses less digits than its factorization.

42156135164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878970 (or 3878968 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The spelling of 42156135164 in words is "forty-two billion, one hundred fifty-six million, one hundred thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 4 11 13 19 22 26 38 44 52 76 143 209 247 286 418 494 572 836 988 2717 5434 10868 3878923 7757846 15515692 42668153 50425999 73699537 85336306 100851998 147399074 170672612 201703996 294798148 554685989 810694907 958093981 1109371978 1621389814 1916187962 2218743956 3242779628 3832375924 10539033791 21078067582 42156135164