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9907017156 = 22325323132
BaseRepresentation
bin10010011101000000…
…10001010111000100
3221120102210121122100
421032200101113010
5130242144022111
64315021432100
7500335153641
oct111640212704
927512717570
109907017156
114224286693
121b05a0b630
13c1b66293a
1469da7adc8
153ceb42756
hex24e8115c4

9907017156 has 81 divisors (see below), whose sum is σ = 25605964839. Its totient is φ = 3229679232.

The previous prime is 9907017139. The next prime is 9907017157. The reversal of 9907017156 is 6517107099.

The square root of 9907017156 is 99534.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2085383556 + 7821633600 = 45666^2 + 88440^2 .

It is not an unprimeable number, because it can be changed into a prime (9907017157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31651656 + ... + 31651968.

Almost surely, 29907017156 is an apocalyptic number.

9907017156 is the 99534-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9907017156

9907017156 is an abundant number, since it is smaller than the sum of its proper divisors (15698947683).

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

9907017156 is a wasteful number, since it uses less digits than its factorization.

9907017156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The cubic root of 9907017156 is about 2147.7363704834.

The spelling of 9907017156 in words is "nine billion, nine hundred seven million, seventeen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 313 318 477 626 636 939 954 1252 1878 1908 2809 2817 3756 5618 5634 8427 11236 11268 16589 16854 25281 33178 33708 49767 50562 66356 97969 99534 101124 149301 195938 199068 293907 298602 391876 587814 597204 879217 881721 1175628 1758434 1763442 2637651 3516868 3526884 5192357 5275302 7912953 10384714 10550604 15577071 15825906 20769428 31154142 31651812 46731213 62308284 93462426 186924852 275194921 550389842 825584763 1100779684 1651169526 2476754289 3302339052 4953508578 9907017156