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253490350176 = 25347139100511
BaseRepresentation
bin1110110000010100110…
…0111100100001100000
3220020022011211000110000
43230011030330201200
513123122012201201
6312241333540000
724212504265540
oct3540514744140
9806264730400
10253490350176
119856076aa78
12411654a4600
131ab9a22a15b
14c3aa1bb320
1568d946bd86
hex3b0533c860

253490350176 has 240 divisors, whose sum is σ = 858147333120. Its totient is φ = 71904049920.

The previous prime is 253490350159. The next prime is 253490350181. The reversal of 253490350176 is 671053094352.

253490350176 is a `hidden beast` number, since 2 + 53 + 4 + 90 + 3 + 501 + 7 + 6 = 666.

It is a super-2 number, since 2×2534903501762 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2471761 + ... + 2572271.

It is an arithmetic number, because the mean of its divisors is an integer number (3575613888).

Almost surely, 2253490350176 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 253490350176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429073666560).

253490350176 is an abundant number, since it is smaller than the sum of its proper divisors (604656982944).

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

253490350176 is a wasteful number, since it uses less digits than its factorization.

253490350176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100679 (or 100662 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 253490350176 in words is "two hundred fifty-three billion, four hundred ninety million, three hundred fifty thousand, one hundred seventy-six".