Search a number
-
+
10056794202 = 23272132195367
BaseRepresentation
bin10010101110110111…
…01000000001011010
3221221212122002010100
421113123220001122
5131044014403302
64341532000230
7504134224500
oct112733500132
927855562110
1010056794202
1142a0886374
121b48000076
13c436b4200
146b5908670
153dcd7ad1c
hex2576e805a

10056794202 has 432 divisors, whose sum is σ = 29876052960. Its totient is φ = 2428538112.

The previous prime is 10056794197. The next prime is 10056794233. The reversal of 10056794202 is 20249765001.

10056794202 is a `hidden beast` number, since 1 + 0 + 0 + 567 + 94 + 2 + 0 + 2 = 666.

It is a super-2 number, since 2×100567942022 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 150101373 + ... + 150101439.

It is an arithmetic number, because the mean of its divisors is an integer number (69157530).

Almost surely, 210056794202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10056794202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938026480).

10056794202 is an abundant number, since it is smaller than the sum of its proper divisors (19819258758).

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

10056794202 is a wasteful number, since it uses less digits than its factorization.

10056794202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10056794202 in words is "ten billion, fifty-six million, seven hundred ninety-four thousand, two hundred two".