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64988161920 = 27335113141269
BaseRepresentation
bin111100100001100110…
…001010011110000000
320012202010200200112000
4330201212022132000
52031043432140140
645504413504000
74460316155553
oct744146123600
9205663620460
1064988161920
112561a139a30
12107184a2000
1361890026a6
14320715269a
151a5561ba30
hexf2198a780

64988161920 has 1024 divisors, whose sum is σ = 266499072000. Its totient is φ = 14819328000.

The previous prime is 64988161897. The next prime is 64988161937. The reversal of 64988161920 is 2916188946.

64988161920 is a `hidden beast` number, since 6 + 498 + 8 + 1 + 61 + 92 + 0 = 666.

It is a super-2 number, since 2×649881619202 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 241591546 + ... + 241591814.

It is an arithmetic number, because the mean of its divisors is an integer number (260253000).

Almost surely, 264988161920 is an apocalyptic number.

64988161920 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 64988161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133249536000).

64988161920 is an abundant number, since it is smaller than the sum of its proper divisors (201510910080).

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

64988161920 is a wasteful number, since it uses less digits than its factorization.

64988161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 64988161920 in words is "sixty-four billion, nine hundred eighty-eight million, one hundred sixty-one thousand, nine hundred twenty".