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59320199680 = 295723712781
BaseRepresentation
bin110111001111110000…
…100110101000000000
312200010010102101000121
4313033300212220000
51432441432342210
643130141430024
74200003243400
oct671760465000
9180103371017
1059320199680
1123180785015
12b5b626b314
135794971091
142c2a496800
151822c206da
hexdcfc26a00

59320199680 has 240 divisors, whose sum is σ = 169935514056. Its totient is φ = 19787120640.

The previous prime is 59320199677. The next prime is 59320199681. The reversal of 59320199680 is 8699102395.

It can be written as a sum of positive squares in 4 ways, for example, as 58579489024 + 740710656 = 242032^2 + 27216^2 .

It is not an unprimeable number, because it can be changed into a prime (59320199681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4634890 + ... + 4647670.

Almost surely, 259320199680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59320199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84967757028).

59320199680 is an abundant number, since it is smaller than the sum of its proper divisors (110615314376).

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

59320199680 is a wasteful number, since it uses less digits than its factorization.

59320199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12855 (or 12832 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 52.

The spelling of 59320199680 in words is "fifty-nine billion, three hundred twenty million, one hundred ninety-nine thousand, six hundred eighty".