Search a number
-
+
67790263315104 = 25331131230090771
BaseRepresentation
bin11110110100111101001101…
…00100000110101010100000
322220000200112000012101122000
433122132212210012222200
532341133424402040404
6400102230025244000
720164453630515351
oct1732364644065240
9286020460171560
1067790263315104
111a666764397720
12772a25a033600
132ba9795b8b175
1412a50cdb15d28
157c85a889a339
hex3da7a6906aa0

67790263315104 has 192 divisors, whose sum is σ = 222654238248960. Its totient is φ = 19879842528000.

The previous prime is 67790263315091. The next prime is 67790263315123. The reversal of 67790263315104 is 40151336209776.

67790263315104 is a `hidden beast` number, since 6 + 7 + 7 + 90 + 2 + 6 + 3 + 31 + 510 + 4 = 666.

It is a super-2 number, since 2×677902633151042 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114750762 + ... + 115340009.

It is an arithmetic number, because the mean of its divisors is an integer number (1159657490880).

Almost surely, 267790263315104 is an apocalyptic number.

It is an amenable number.

67790263315104 is an abundant number, since it is smaller than the sum of its proper divisors (154863974933856).

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

67790263315104 is a wasteful number, since it uses less digits than its factorization.

67790263315104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230090832 (or 230090818 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 67790263315104 in words is "sixty-seven trillion, seven hundred ninety billion, two hundred sixty-three million, three hundred fifteen thousand, one hundred four".