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68933652480 = 2123357111619
BaseRepresentation
bin100000000110011000…
…1000001000000000000
320120221002211101002000
41000030301001000000
52112134003334410
651400115224000
74660145243520
oct1001461010000
9216832741060
1068933652480
1127264282430
12114398a8000
13666754a2a4
14349d157680
151bd6bc5dc0
hex100cc41000

68933652480 has 832 divisors, whose sum is σ = 305727436800. Its totient is φ = 14315028480.

The previous prime is 68933652433. The next prime is 68933652523. The reversal of 68933652480 is 8425633986.

68933652480 is a `hidden beast` number, since 6 + 8 + 9 + 3 + 36 + 524 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42577111 + ... + 42578729.

Almost surely, 268933652480 is an apocalyptic number.

68933652480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68933652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152863718400).

68933652480 is an abundant number, since it is smaller than the sum of its proper divisors (236793784320).

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

68933652480 is a wasteful number, since it uses less digits than its factorization.

68933652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 68933652480 in words is "sixty-eight billion, nine hundred thirty-three million, six hundred fifty-two thousand, four hundred eighty".