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112862356992 = 29377211217
BaseRepresentation
bin110100100011100011…
…1101110011000000000
3101210022120102210000000
41221013013232120000
53322120230410432
6123503120000000
711103556130400
oct1510707563000
9353276383000
10112862356992
1143956949300
1219a59460000
13a84851ab78
1456693da800
152e0854d57c
hex1a471ee600

112862356992 has 1440 divisors, whose sum is σ = 457876631520. Its totient is φ = 27590492160.

The previous prime is 112862356987. The next prime is 112862357021. The reversal of 112862356992 is 299653268211.

112862356992 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 623 + 5 + 6 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2799360) is a multiple of the sum of its prime divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6638962168 + ... + 6638962184.

It is an arithmetic number, because the mean of its divisors is an integer number (317969883).

Almost surely, 2112862356992 is an apocalyptic number.

112862356992 is a gapful number since it is divisible by the number (12) 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 112862356992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228938315760).

112862356992 is an abundant number, since it is smaller than the sum of its proper divisors (345014274528).

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

112862356992 is an frugal number, since it uses more digits than its factorization.

112862356992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 112862356992 in words is "one hundred twelve billion, eight hundred sixty-two million, three hundred fifty-six thousand, nine hundred ninety-two".