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59414388000 = 25353112172983
BaseRepresentation
bin110111010101010111…
…111001110100100000
312200100200122122002220
4313111113321310200
51433140040404000
643143344311040
74202225652042
oct672527716440
9180320578086
1059414388000
1123219967100
12b621912480
1357ab32b506
142c38bb3a92
15182b1281a0
hexdd55f9d20

59414388000 has 1152 divisors, whose sum is σ = 237164578560. Its totient is φ = 12931072000.

The previous prime is 59414387999. The next prime is 59414388013. The reversal of 59414388000 is 88341495.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 715835959 + ... + 715836041.

It is an arithmetic number, because the mean of its divisors is an integer number (205872030).

Almost surely, 259414388000 is an apocalyptic number.

59414388000 is a gapful number since it is divisible by the number (50) 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 59414388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118582289280).

59414388000 is an abundant number, since it is smaller than the sum of its proper divisors (177750190560).

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

59414388000 is a wasteful number, since it uses less digits than its factorization.

59414388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 59414388000 in words is "fifty-nine billion, four hundred fourteen million, three hundred eighty-eight thousand".