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112552187904 = 21137131933
BaseRepresentation
bin110100011010010100…
…0100001100000000000
3101202111221210120000000
41220310220201200000
53321001330003104
6123412240000000
711063101545342
oct1506450414000
9352457716000
10112552187904
1143807859712
1219991600000
13a7c919c570
14563a13b292
152ddb1d1639
hex1a34a21800

112552187904 has 384 divisors, whose sum is σ = 363674001600. Its totient is φ = 34613526528.

The previous prime is 112552187879. The next prime is 112552187921. The reversal of 112552187904 is 409781255211.

112552187904 is a `hidden beast` number, since 1 + 1 + 2 + 552 + 1 + 8 + 7 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 112552187904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58225722 + ... + 58227654.

Almost surely, 2112552187904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112552187904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181837000800).

112552187904 is an abundant number, since it is smaller than the sum of its proper divisors (251121813696).

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

112552187904 is an frugal number, since it uses more digits than its factorization.

112552187904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 112552187904 in words is "one hundred twelve billion, five hundred fifty-two million, one hundred eighty-seven thousand, nine hundred four".