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10019185956 = 223213212712967
BaseRepresentation
bin10010101010011000…
…01010010100100100
3221212020212101022100
421111030022110210
5131004402422311
64334105532100
7503166450453
oct112514122444
927766771270
1010019185956
11428162977a
121b374a4030
13c38977200
146b0918b9a
153d98eca56
hex25530a524

10019185956 has 108 divisors (see below), whose sum is σ = 27642381312. Its totient is φ = 3058316352.

The previous prime is 10019185951. The next prime is 10019185973. The reversal of 10019185956 is 65958191001.

It is not an unprimeable number, because it can be changed into a prime (10019185951) 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 35 ways as a sum of consecutive naturals, for example, 766185 + ... + 779151.

Almost surely, 210019185956 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 10019185956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13821190656).

10019185956 is an abundant number, since it is smaller than the sum of its proper divisors (17623195356).

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

10019185956 is a wasteful number, since it uses less digits than its factorization.

10019185956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13130 (or 13112 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The spelling of 10019185956 in words is "ten billion, nineteen million, one hundred eighty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 127 156 169 234 254 338 381 468 507 508 676 762 1014 1143 1521 1524 1651 2028 2286 3042 3302 4572 4953 6084 6604 9906 12967 14859 19812 21463 25934 29718 38901 42926 51868 59436 64389 77802 85852 116703 128778 155604 168571 193167 233406 257556 337142 386334 466812 505713 674284 772668 1011426 1517139 1646809 2022852 2191423 3034278 3293618 4382846 4940427 6068556 6574269 6587236 8765692 9880854 13148538 14821281 19722807 19761708 21408517 26297076 29642562 39445614 42817034 59285124 64225551 78891228 85634068 128451102 192676653 256902204 278310721 385353306 556621442 770706612 834932163 1113242884 1669864326 2504796489 3339728652 5009592978 10019185956