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74491243130304 = 263371113312411093
BaseRepresentation
bin10000111011111111011000…
…000101011110110111000000
3100202202021220210221010001000
4100323333120011132313000
534230431031220132204
6422232445450412000
721455546306245260
oct2073773005366700
9322667823833030
1074491243130304
112180a6168453a0
128430a9a731000
1332746566787b0
141457576dc17a0
15892a4c931039
hex43bfd815edc0

74491243130304 has 2688 divisors, whose sum is σ = 311514912737280. Its totient is φ = 16846921728000.

The previous prime is 74491243130237. The next prime is 74491243130377. The reversal of 74491243130304 is 40303134219447.

74491243130304 is a `hidden beast` number, since 7 + 4 + 4 + 9 + 1 + 24 + 313 + 0 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 74491243130304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 68153012382 + ... + 68153013474.

It is an arithmetic number, because the mean of its divisors is an integer number (115890964560).

Almost surely, 274491243130304 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 74491243130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155757456368640).

74491243130304 is an abundant number, since it is smaller than the sum of its proper divisors (237023669606976).

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

74491243130304 is a wasteful number, since it uses less digits than its factorization.

74491243130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 74491243130304 in words is "seventy-four trillion, four hundred ninety-one billion, two hundred forty-three million, one hundred thirty thousand, three hundred four".