Search a number
-
+
76910425920 = 26325373072351
BaseRepresentation
bin100011110100000110…
…1111111011101000000
321100112000112110010100
41013220031333131000
52230003032112140
655155425202400
75361624555666
oct1075015773500
9240460473110
1076910425920
112a687a26379
1212aa5190400
13733901a483
143a186d6c36
152002134530
hex11e837f740

76910425920 has 336 divisors, whose sum is σ = 272690466048. Its totient is φ = 19881676800.

The previous prime is 76910425913. The next prime is 76910425931. The reversal of 76910425920 is 2952401967.

76910425920 is a `hidden beast` number, since 7 + 6 + 9 + 10 + 42 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32712745 + ... + 32715095.

It is an arithmetic number, because the mean of its divisors is an integer number (811578768).

Almost surely, 276910425920 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 76910425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136345233024).

76910425920 is an abundant number, since it is smaller than the sum of its proper divisors (195780040128).

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

76910425920 is a wasteful number, since it uses less digits than its factorization.

76910425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 76910425920 in words is "seventy-six billion, nine hundred ten million, four hundred twenty-five thousand, nine hundred twenty".