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7057842432 = 283591091429
BaseRepresentation
bin1101001001010111…
…00010000100000000
3200012212120112200120
412210223202010000
5103423301424212
63124202020240
7336620446044
oct64453420400
920185515616
107057842432
112aa1a71533
12144b7a7680
138862a8b34
144ad4d6024
152b494288c
hex1a4ae2100

7057842432 has 144 divisors (see below), whose sum is σ = 19291272000. Its totient is φ = 2289917952.

The previous prime is 7057842419. The next prime is 7057842443. The reversal of 7057842432 is 2342487507.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4938294 + ... + 4939722.

Almost surely, 27057842432 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 7057842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9645636000).

7057842432 is an abundant number, since it is smaller than the sum of its proper divisors (12233429568).

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

7057842432 is a wasteful number, since it uses less digits than its factorization.

7057842432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 7057842432 is about 84010.9661413318. The cubic root of 7057842432 is about 1918.1857167081.

The spelling of 7057842432 in words is "seven billion, fifty-seven million, eight hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 109 118 128 177 192 218 236 256 327 354 384 436 472 654 708 768 872 944 1308 1416 1429 1744 1888 2616 2832 2858 3488 3776 4287 5232 5664 5716 6431 6976 7552 8574 10464 11328 11432 12862 13952 15104 17148 19293 20928 22656 22864 25724 27904 34296 38586 41856 45312 45728 51448 68592 77172 83712 84311 91456 102896 137184 154344 155761 168622 182912 205792 252933 274368 308688 311522 337244 365824 411584 467283 505866 548736 617376 623044 674488 823168 934566 1011732 1097472 1234752 1246088 1348976 1646336 1869132 2023464 2469504 2492176 2697952 3738264 4046928 4939008 4984352 5395904 7476528 8093856 9189899 9968704 10791808 14953056 16187712 18379798 19937408 21583616 27569697 29906112 32375424 36759596 39874816 55139394 59812224 64750848 73519192 110278788 119624448 147038384 220557576 294076768 441115152 588153536 882230304 1176307072 1764460608 2352614144 3528921216 7057842432