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3730871225952 = 253413316734961
BaseRepresentation
bin110110010010101001010…
…000010000111001100000
3111012200000211102102220000
4312102221100100321200
5442111311013212302
611533534422220000
7533355316113603
oct66225120207140
914180024372800
103730871225952
1112092875a8352
12503099284600
13210a869c2640
14cc80a23233a
15670adb6b31c
hex364a9410e60

3730871225952 has 240 divisors, whose sum is σ = 11820487738752. Its totient is φ = 1147565076480.

The previous prime is 3730871225927. The next prime is 3730871225953. The reversal of 3730871225952 is 2595221780373.

3730871225952 is a `hidden beast` number, since 3 + 7 + 30 + 8 + 7 + 12 + 2 + 595 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3730871225953) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106697752 + ... + 106732712.

Almost surely, 23730871225952 is an apocalyptic number.

3730871225952 is a gapful number since it is divisible by the number (32) 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 3730871225952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910243869376).

3730871225952 is an abundant number, since it is smaller than the sum of its proper divisors (8089616512800).

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

3730871225952 is a wasteful number, since it uses less digits than its factorization.

3730871225952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38163 (or 38146 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 3730871225952 in words is "three trillion, seven hundred thirty billion, eight hundred seventy-one million, two hundred twenty-five thousand, nine hundred fifty-two".