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360042225372 = 223337413376521
BaseRepresentation
bin1010011110101000011…
…00000101111011011100
31021102022221222002211000
411033110030011323130
521344331302202442
6433222350230300
735004116264154
oct5172414057334
91242287862730
10360042225372
111297694a4965
12599414b5390
1327c4b25150b
14135d7467764
1595739a2d4c
hex53d4305edc

360042225372 has 192 divisors, whose sum is σ = 985118359680. Its totient is φ = 113566924800.

The previous prime is 360042225353. The next prime is 360042225397. The reversal of 360042225372 is 273522240063.

360042225372 is a `hidden beast` number, since 3 + 60 + 0 + 4 + 2 + 225 + 372 = 666.

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 63 ways as a sum of consecutive naturals, for example, 55209472 + ... + 55215992.

It is an arithmetic number, because the mean of its divisors is an integer number (5130824790).

Almost surely, 2360042225372 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 360042225372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492559179840).

360042225372 is an abundant number, since it is smaller than the sum of its proper divisors (625076134308).

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

360042225372 is a wasteful number, since it uses less digits than its factorization.

360042225372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6949 (or 6941 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 360042225372 in words is "three hundred sixty billion, forty-two million, two hundred twenty-five thousand, three hundred seventy-two".