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10152754136 = 237239765239
BaseRepresentation
bin10010111010010011…
…01011101111011000
3222012120012100101222
421131021223233120
5131243101113021
64355240431212
7506410662200
oct113511535730
928176170358
1010152754136
11433aa684a8
121b74178508
13c5a541b35
146c4567400
153e64d36ab
hex25d26bbd8

10152754136 has 48 divisors (see below), whose sum is σ = 22200519600. Its totient is φ = 4340153664.

The previous prime is 10152754133. The next prime is 10152754151. The reversal of 10152754136 is 63145725101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10152754096 and 10152754105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152754133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123005 + ... + 188243.

It is an arithmetic number, because the mean of its divisors is an integer number (462510825).

Almost surely, 210152754136 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 10152754136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11100259800).

10152754136 is an abundant number, since it is smaller than the sum of its proper divisors (12047765464).

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

10152754136 is a wasteful number, since it uses less digits than its factorization.

10152754136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65656 (or 65645 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 10152754136 in words is "ten billion, one hundred fifty-two million, seven hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 397 794 1588 2779 3176 5558 11116 19453 22232 38906 65239 77812 130478 155624 260956 456673 521912 913346 1826692 3196711 3653384 6393422 12786844 25573688 25899883 51799766 103599532 181299181 207199064 362598362 725196724 1269094267 1450393448 2538188534 5076377068 10152754136