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68501828304 = 24357213171627
BaseRepresentation
bin111111110011000001…
…101111001011010000
320112211000021102200000
4333303001233023100
52110242432001204
651245211530000
74643352635100
oct776301571320
9215730242600
1068501828304
1127062550548
1211339159900
1365c8c45620
14345ba6b200
151badd28039
hexff306f2d0

68501828304 has 720 divisors, whose sum is σ = 263871736128. Its totient is φ = 16993234944.

The previous prime is 68501828273. The next prime is 68501828327. The reversal of 68501828304 is 40382810586.

68501828304 is a `hidden beast` number, since 68 + 501 + 8 + 2 + 83 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 68501828304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42102339 + ... + 42103965.

Almost surely, 268501828304 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 68501828304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131935868064).

68501828304 is an abundant number, since it is smaller than the sum of its proper divisors (195369907824).

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

68501828304 is a wasteful number, since it uses less digits than its factorization.

68501828304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 68501828304 in words is "sixty-eight billion, five hundred one million, eight hundred twenty-eight thousand, three hundred four".