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475042501080 = 233257311093469
BaseRepresentation
bin1101110100110101011…
…11010101000111011000
31200102011112021101221200
412322122233111013120
530240341340013310
61002122001234200
746214665431000
oct6723257250730
91612145241850
10475042501080
11173512120134
1278096932960
1335a47675634
1418dc6781000
15c554a589c0
hex6e9abd51d8

475042501080 has 384 divisors, whose sum is σ = 1802595600000. Its totient is φ = 108451961856.

The previous prime is 475042501067. The next prime is 475042501111. The reversal of 475042501080 is 80105240574.

475042501080 is a `hidden beast` number, since 4 + 75 + 0 + 4 + 2 + 501 + 0 + 80 = 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 95 ways as a sum of consecutive naturals, for example, 136937586 + ... + 136941054.

It is an arithmetic number, because the mean of its divisors is an integer number (4694259375).

Almost surely, 2475042501080 is an apocalyptic number.

475042501080 is a gapful number since it is divisible by the number (40) 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 475042501080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901297800000).

475042501080 is an abundant number, since it is smaller than the sum of its proper divisors (1327553098920).

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

475042501080 is a wasteful number, since it uses less digits than its factorization.

475042501080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 475042501080 in words is "four hundred seventy-five billion, forty-two million, five hundred one thousand, eighty".