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112854602045952 = 2933134637091913
BaseRepresentation
bin11001101010010000000010…
…011101110101101000000000
3112210120210110020220200221000
4121222100002131311220000
5104243002211110432302
61040004404412332000
732525322146536164
oct3152200235655000
9483523406820830
10112854602045952
1132a60405817a88
12107a7b89a74000
134ac81b2b07510
141dc2298756ca4
15d0a9193c131c
hex66a402775a00

112854602045952 has 640 divisors, whose sum is σ = 361228429900800. Its totient is φ = 34582535995392.

The previous prime is 112854602045923. The next prime is 112854602045981. The reversal of 112854602045952 is 259540206458211.

It is a happy number.

112854602045952 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 5 + 46 + 0 + 2 + 0 + 4 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (112854602045923) and next prime (112854602045981).

It is a super-2 number, since 2×1128546020459522 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58993518148 + ... + 58993520060.

It is an arithmetic number, because the mean of its divisors is an integer number (564419421720).

Almost surely, 2112854602045952 is an apocalyptic number.

112854602045952 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 112854602045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180614214950400).

112854602045952 is an abundant number, since it is smaller than the sum of its proper divisors (248373827854848).

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

112854602045952 is a wasteful number, since it uses less digits than its factorization.

112854602045952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 112854602045952 in words is "one hundred twelve trillion, eight hundred fifty-four billion, six hundred two million, forty-five thousand, nine hundred fifty-two".