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66396366432 = 253211312113193
BaseRepresentation
bin111101110101100010…
…000010011001100000
320100101021110212221200
4331311202002121200
52041434432211212
650300240321200
74540235542224
oct756542023140
9210337425850
1066396366432
1126182021910
1210a50013200
1363519946b6
1432dc19c784
151ad90826dc
hexf75882660

66396366432 has 432 divisors, whose sum is σ = 215834555664. Its totient is φ = 19198771200.

The previous prime is 66396366383. The next prime is 66396366473. The reversal of 66396366432 is 23466369366.

66396366432 is a `hidden beast` number, since 6 + 63 + 96 + 3 + 66 + 432 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 344022528 + ... + 344022720.

It is an arithmetic number, because the mean of its divisors is an integer number (499617027).

Almost surely, 266396366432 is an apocalyptic number.

66396366432 is a gapful number since it is divisible by the number (62) 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 66396366432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107917277832).

66396366432 is an abundant number, since it is smaller than the sum of its proper divisors (149438189232).

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

66396366432 is a wasteful number, since it uses less digits than its factorization.

66396366432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 353 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 54.

The spelling of 66396366432 in words is "sixty-six billion, three hundred ninety-six million, three hundred sixty-six thousand, four hundred thirty-two".