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10214570304 = 2632223281283
BaseRepresentation
bin10011000001101010…
…11111100101000000
3222100212111221020200
421200311133211000
5131404412222204
64405325405200
7511061262231
oct114065374500
928325457220
1010214570304
114371949944
121b90a09800
13c6a2a6653
146cc859088
153ebb44539
hex260d5f940

10214570304 has 168 divisors, whose sum is σ = 29618464512. Its totient is φ = 3365591040.

The previous prime is 10214570257. The next prime is 10214570329. The reversal of 10214570304 is 40307541201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36093747 + ... + 36094029.

It is an arithmetic number, because the mean of its divisors is an integer number (176300384).

Almost surely, 210214570304 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 10214570304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14809232256).

10214570304 is an abundant number, since it is smaller than the sum of its proper divisors (19403894208).

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

10214570304 is a wasteful number, since it uses less digits than its factorization.

10214570304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10214570304 in words is "ten billion, two hundred fourteen million, five hundred seventy thousand, three hundred four".