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59423320320 = 28357132103127
BaseRepresentation
bin110111010101111001…
…111110100100000000
312200101022110102221120
4313111321332210000
51433144332222240
643144303552240
74202364613560
oct672571764400
9180338412846
1059423320320
1123223a08091
12b6248bb680
1357b0138100
142c3a05ada0
15182bcdead0
hexdd5e7e900

59423320320 has 864 divisors, whose sum is σ = 239010250752. Its totient is φ = 12318179328.

The previous prime is 59423320309. The next prime is 59423320321. The reversal of 59423320320 is 2302332495.

It is a super-2 number, since 2×594233203202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (59423320321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 467900097 + ... + 467900223.

Almost surely, 259423320320 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 59423320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119505125376).

59423320320 is an abundant number, since it is smaller than the sum of its proper divisors (179586930432).

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

59423320320 is a wasteful number, since it uses less digits than its factorization.

59423320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 59423320320 in words is "fifty-nine billion, four hundred twenty-three million, three hundred twenty thousand, three hundred twenty".