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76502140740 = 223351971105019
BaseRepresentation
bin100011100111111100…
…0100000011101000100
321022110120021102011000
41013033320200131010
52223134022000430
655051122213300
75345536316124
oct1071770403504
9238416242130
1076502140740
112a498511703
12129b04b4230
1372a25679cc
1439ba3b6c84
151ecb385e60
hex11cfe20744

76502140740 has 192 divisors, whose sum is σ = 254064384000. Its totient is φ = 19054465920.

The previous prime is 76502140739. The next prime is 76502140769. The reversal of 76502140740 is 4704120567.

76502140740 is a `hidden beast` number, since 7 + 6 + 502 + 140 + 7 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76502140695 and 76502140704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 675951 + ... + 780969.

It is an arithmetic number, because the mean of its divisors is an integer number (1323252000).

Almost surely, 276502140740 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 76502140740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127032192000).

76502140740 is an abundant number, since it is smaller than the sum of its proper divisors (177562243260).

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

76502140740 is a wasteful number, since it uses less digits than its factorization.

76502140740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105127 (or 105119 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 76502140740 in words is "seventy-six billion, five hundred two million, one hundred forty thousand, seven hundred forty".