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60032900100096 = 2123471118112983
BaseRepresentation
bin11011010011001011111111…
…01011110111000000000000
321212120002102000201202210000
431221211333223313000000
530332034334411200341
6331402422241440000
715434143141242540
oct1551457753670000
9255502360652700
1060032900100096
11181458a0063280
126896940940000
132766102a1aa41
1410b7871dc1320
156e18d80da8b6
hex36997faf7000

60032900100096 has 1040 divisors, whose sum is σ = 224839921033728. Its totient is φ = 15505617715200.

The previous prime is 60032900100073. The next prime is 60032900100097. The reversal of 60032900100096 is 69000100923006.

60032900100096 is a `hidden beast` number, since 600 + 32 + 9 + 0 + 0 + 10 + 0 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 60032900100096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60032900100097) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4623955621 + ... + 4623968603.

Almost surely, 260032900100096 is an apocalyptic number.

60032900100096 is a gapful number since it is divisible by the number (66) 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 60032900100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112419960516864).

60032900100096 is an abundant number, since it is smaller than the sum of its proper divisors (164807020933632).

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

60032900100096 is a wasteful number, since it uses less digits than its factorization.

60032900100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13218 (or 13187 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 60032900100096 in words is "sixty trillion, thirty-two billion, nine hundred million, one hundred thousand, ninety-six".