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68624962560 = 2103457211307
BaseRepresentation
bin111111111010010111…
…011101010000000000
320120010120222022010000
4333322113131100000
52111020442300220
651305331040000
74646406362100
oct777227352000
9216116868100
1068624962560
11271160030a0
1211372440000
1366185c902b
143470161200
151bb9a4c390
hexffa5dd400

68624962560 has 1320 divisors, whose sum is σ = 313084293984. Its totient is φ = 14213283840.

The previous prime is 68624962543. The next prime is 68624962561. The reversal of 68624962560 is 6526942686.

It is a happy number.

68624962560 is a `hidden beast` number, since 6 + 8 + 6 + 2 + 4 + 9 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-2 number, since 2×686249625602 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 68624962497 and 68624962506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68624962561) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 223533927 + ... + 223534233.

Almost surely, 268624962560 is an apocalyptic number.

68624962560 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 68624962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156542146992).

68624962560 is an abundant number, since it is smaller than the sum of its proper divisors (244459331424).

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

68624962560 is a wasteful number, since it uses less digits than its factorization.

68624962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 335 counting only the distinct ones).

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

The spelling of 68624962560 in words is "sixty-eight billion, six hundred twenty-four million, nine hundred sixty-two thousand, five hundred sixty".