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15742302896 = 2423712832129
BaseRepresentation
bin11101010100101000…
…00111101010110000
31111122002220211211102
432222110013222300
5224220012143041
611122032103532
71065052236545
oct165224075260
944562824742
1015742302896
116749135191
123074094ba8
13163b57a238
14a94a50bcc
1562209109b
hex3aa507ab0

15742302896 has 80 divisors (see below), whose sum is σ = 32404354560. Its totient is φ = 7393182720.

The previous prime is 15742302893. The next prime is 15742302941. The reversal of 15742302896 is 69820324751.

It is a self number, because there is not a number n which added to its sum of digits gives 15742302896.

It is not an unprimeable number, because it can be changed into a prime (15742302893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7393160 + ... + 7395288.

It is an arithmetic number, because the mean of its divisors is an integer number (405054432).

It is a 2-persistent number, because it is pandigital, and so is 2⋅15742302896 = 31484605792, but 3⋅15742302896 = 47226908688 is not.

Almost surely, 215742302896 is an apocalyptic number.

15742302896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15742302896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16202177280).

15742302896 is an abundant number, since it is smaller than the sum of its proper divisors (16662051664).

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

15742302896 is a wasteful number, since it uses less digits than its factorization.

15742302896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 15742302896 in words is "fifteen billion, seven hundred forty-two million, three hundred two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 71 92 142 184 283 284 368 566 568 1132 1136 1633 2129 2264 3266 4258 4528 6509 6532 8516 13018 13064 17032 20093 26036 26128 34064 40186 48967 52072 80372 97934 104144 151159 160744 195868 302318 321488 391736 462139 602507 604636 783472 924278 1205014 1209272 1848556 2410028 2418544 3476657 3697112 4820056 6953314 7394224 9640112 13857661 13906628 27715322 27813256 42777997 55430644 55626512 85555994 110861288 171111988 221722576 342223976 684447952 983893931 1967787862 3935575724 7871151448 15742302896