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13200428956 = 22111359599653
BaseRepresentation
bin11000100101100111…
…01000111110011100
31021001221221021022011
430102303220332130
5204013302211311
610021511001004
7645055536421
oct142263507634
937057837264
1013200428956
115664330720
122684969164
131324a79310
148d321dd48
15523d43321
hex312ce8f9c

13200428956 has 96 divisors (see below), whose sum is σ = 27687744000. Its totient is φ = 5427352320.

The previous prime is 13200428953. The next prime is 13200428963. The reversal of 13200428956 is 65982400231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200428951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20214726 + ... + 20215378.

It is an arithmetic number, because the mean of its divisors is an integer number (288414000).

Almost surely, 213200428956 is an apocalyptic number.

It is an amenable number.

13200428956 is an abundant number, since it is smaller than the sum of its proper divisors (14487315044).

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

13200428956 is a wasteful number, since it uses less digits than its factorization.

13200428956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 13200428956 in words is "thirteen billion, two hundred million, four hundred twenty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 4 11 13 22 26 44 52 59 118 143 236 286 572 599 649 653 767 1198 1298 1306 1534 2396 2596 2612 3068 6589 7183 7787 8437 8489 13178 14366 15574 16874 16978 26356 28732 31148 33748 33956 35341 38527 70682 77054 85657 93379 141364 154108 171314 186758 342628 373516 388751 391147 423797 459433 500851 777502 782294 847594 918866 1001702 1555004 1564588 1695188 1837732 2003404 4302617 5053763 5084911 5509361 8605234 10107526 10169822 11018722 17210468 20215052 20339644 22037444 23077673 46155346 55934021 92310692 111868042 223736084 253854403 300009749 507708806 600019498 1015417612 1200038996 3300107239 6600214478 13200428956