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42921135360 = 283452341439
BaseRepresentation
bin100111111110010011…
…001000110100000000
311002210020200120220000
4213332103020310000
51200400302312420
631415004520000
73046424426265
oct477623106400
9132706616800
1042921135360
11172259532a4
12839a250000
13408031341c
14211252526c
1511b319d690
hex9fe4c8d00

42921135360 has 720 divisors, whose sum is σ = 164539710720. Its totient is φ = 10656645120.

The previous prime is 42921135349. The next prime is 42921135371. The reversal of 42921135360 is 6353112924.

42921135360 is a `hidden beast` number, since 4 + 2 + 9 + 2 + 113 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42921135349) and next prime (42921135371).

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97770021 + ... + 97770459.

It is an arithmetic number, because the mean of its divisors is an integer number (228527376).

Almost surely, 242921135360 is an apocalyptic number.

42921135360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42921135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82269855360).

42921135360 is an abundant number, since it is smaller than the sum of its proper divisors (121618575360).

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

42921135360 is a wasteful number, since it uses less digits than its factorization.

42921135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 42921135360 in words is "forty-two billion, nine hundred twenty-one million, one hundred thirty-five thousand, three hundred sixty".