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68163923520 = 2634573111741
BaseRepresentation
bin111111011110111000…
…101110111001000000
320111221110110002110000
4333132320232321000
52104044431023040
651151501240000
74632110535000
oct773670567100
9214843402400
1068163923520
11269a98376a0
1211263b63000
136573c35874
143428c2c000
151b8e32d130
hexfdee2ee40

68163923520 has 2240 divisors, whose sum is σ = 334582617600. Its totient is φ = 13005619200.

The previous prime is 68163923491. The next prime is 68163923551. The reversal of 68163923520 is 2532936186.

68163923520 is a `hidden beast` number, since 6 + 8 + 1 + 639 + 2 + 3 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1662534700 + ... + 1662534740.

It is an arithmetic number, because the mean of its divisors is an integer number (149367240).

Almost surely, 268163923520 is an apocalyptic number.

68163923520 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 68163923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167291308800).

68163923520 is an abundant number, since it is smaller than the sum of its proper divisors (266418694080).

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

68163923520 is a wasteful number, since it uses less digits than its factorization.

68163923520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 68163923520 in words is "sixty-eight billion, one hundred sixty-three million, nine hundred twenty-three thousand, five hundred twenty".