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66525986340 = 223351126116691
BaseRepresentation
bin111101111101010000…
…011111111000100100
320100201022101021001000
4331331100133320210
52042221123030330
650321150433300
74543401360642
oct757520377044
9210638337030
1066525986340
1126239204200
1210a87502830
1363727a9178
1433114a0192
151ae5638560
hexf7d41fe24

66525986340 has 288 divisors, whose sum is σ = 231238949760. Its totient is φ = 15862176000.

The previous prime is 66525986311. The next prime is 66525986363. The reversal of 66525986340 is 4368952566.

66525986340 is a `hidden beast` number, since 6 + 6 + 5 + 2 + 598 + 6 + 3 + 40 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3977395 + ... + 3994085.

It is an arithmetic number, because the mean of its divisors is an integer number (802913020).

Almost surely, 266525986340 is an apocalyptic number.

66525986340 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 66525986340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115619474880).

66525986340 is an abundant number, since it is smaller than the sum of its proper divisors (164712963420).

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

66525986340 is a wasteful number, since it uses less digits than its factorization.

66525986340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16792 (or 16773 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 66525986340 in words is "sixty-six billion, five hundred twenty-five million, nine hundred eighty-six thousand, three hundred forty".