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10064602080 = 2533513179213
BaseRepresentation
bin10010101111110010…
…11010001111100000
3221222102022202112000
421113321122033200
5131103014231310
64342411204000
7504260464131
oct112771321740
927872282460
1010064602080
1142a5229565
121b4a746600
13c451b9060
146b697bc88
153dd8be4c0
hex257e5a3e0

10064602080 has 192 divisors, whose sum is σ = 37936019520. Its totient is φ = 2477426688.

The previous prime is 10064602069. The next prime is 10064602111. The reversal of 10064602080 is 8020646001.

10064602080 is a `hidden beast` number, since 10 + 0 + 646 + 0 + 2 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33447 + ... + 145766.

It is an arithmetic number, because the mean of its divisors is an integer number (197583435).

Almost surely, 210064602080 is an apocalyptic number.

10064602080 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 10064602080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18968009760).

10064602080 is an abundant number, since it is smaller than the sum of its proper divisors (27871417440).

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

10064602080 is a wasteful number, since it uses less digits than its factorization.

10064602080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179250 (or 179236 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10064602080 in words is "ten billion, sixty-four million, six hundred two thousand, eighty".