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42202099584 = 2732191928093
BaseRepresentation
bin100111010011011100…
…001110111110000000
311000221010200210020100
4213103130032332000
51142412214141314
631215401242400
73022543633131
oct472334167600
9130833623210
1042202099584
1116996a92057
128219493400
133c9736a778
142084c33c88
15116eebac09
hex9d370ef80

42202099584 has 96 divisors (see below), whose sum is σ = 127832632200. Its totient is φ = 13326971904.

The previous prime is 42202099559. The next prime is 42202099601. The reversal of 42202099584 is 48599020224.

42202099584 is a `hidden beast` number, since 42 + 2 + 0 + 20 + 9 + 9 + 584 = 666.

42202099584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 942159 + ... + 985934.

Almost surely, 242202099584 is an apocalyptic number.

It is an amenable number.

42202099584 is an abundant number, since it is smaller than the sum of its proper divisors (85630532616).

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

42202099584 is a wasteful number, since it uses less digits than its factorization.

42202099584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928132 (or 1928117 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 42202099584 in words is "forty-two billion, two hundred two million, ninety-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 1928093 3856186 5784279 7712372 11568558 15424744 17352837 23137116 30849488 34705674 36633767 46274232 61698976 69411348 73267534 92548464 109901301 123397952 138822696 146535068 185096928 219802602 246795904 277645392 293070136 329703903 370193856 439605204 555290784 586140272 659407806 740387712 879210408 1110581568 1172280544 1318815612 1758420816 2221163136 2344561088 2637631224 3516841632 4689122176 5275262448 7033683264 10550524896 14067366528 21101049792 42202099584