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10059610000 = 245411109839
BaseRepresentation
bin10010101111001100…
…10111011110010000
3221222001221010200011
421113212113132100
5131100230010000
64342112204304
7504200163016
oct112746273620
927861833604
1010059610000
1142a2429980
121b48b39694
13c4415ba6b
146b603c8b6
153dd2352ba
hex257997790

10059610000 has 200 divisors, whose sum is σ = 26845156800. Its totient is φ = 3620160000.

The previous prime is 10059609949. The next prime is 10059610009. The reversal of 10059610000 is 1695001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10059610009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11989581 + ... + 11990419.

It is an arithmetic number, because the mean of its divisors is an integer number (134225784).

Almost surely, 210059610000 is an apocalyptic number.

10059610000 is a gapful number since it is divisible by the number (10) 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 10059610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13422578400).

10059610000 is an abundant number, since it is smaller than the sum of its proper divisors (16785546800).

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

10059610000 is a wasteful number, since it uses less digits than its factorization.

10059610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The spelling of 10059610000 in words is "ten billion, fifty-nine million, six hundred ten thousand".