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66149038080 = 21132519371021
BaseRepresentation
bin111101100110110010…
…100011100000000000
320022202001002022020100
4331212302203200000
52040433123204310
650215523242400
74531143355266
oct754662434000
9208661068210
1066149038080
1126065453414
12109a1219400
136312679068
1432b73ba436
151ac24c9ec0
hexf66ca3800

66149038080 has 576 divisors, whose sum is σ = 248092135200. Its totient is φ = 16243752960.

The previous prime is 66149038037. The next prime is 66149038141. The reversal of 66149038080 is 8083094166.

66149038080 is a `hidden beast` number, since 6 + 6 + 1 + 490 + 3 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64787970 + ... + 64788990.

Almost surely, 266149038080 is an apocalyptic number.

66149038080 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 66149038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124046067600).

66149038080 is an abundant number, since it is smaller than the sum of its proper divisors (181943097120).

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

66149038080 is a wasteful number, since it uses less digits than its factorization.

66149038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 66149038080 in words is "sixty-six billion, one hundred forty-nine million, thirty-eight thousand, eighty".