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42002556336 = 243213171319839
BaseRepresentation
bin100111000111100011…
…000010010110110000
311000102020012221100200
4213013203002112300
51142010123300321
631143512315200
73014601560316
oct470743022660
9130366187320
1042002556336
11168a4391284
1281826a2b00
133c64c13340
1420665300b6
15115c701d26
hex9c78c25b0

42002556336 has 120 divisors (see below), whose sum is σ = 134037671040. Its totient is φ = 12163627008.

The previous prime is 42002556329. The next prime is 42002556389. The reversal of 42002556336 is 63365520024.

42002556336 is a `hidden beast` number, since 42 + 0 + 0 + 25 + 563 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42002556336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628096 + ... + 691743.

It is an arithmetic number, because the mean of its divisors is an integer number (1116980592).

Almost surely, 242002556336 is an apocalyptic number.

It is an amenable number.

42002556336 is an abundant number, since it is smaller than the sum of its proper divisors (92035114704).

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

42002556336 is a wasteful number, since it uses less digits than its factorization.

42002556336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319883 (or 1319874 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 42002556336 in words is "forty-two billion, two million, five hundred fifty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1768 1872 1989 2448 2652 3536 3978 5304 7956 10608 15912 31824 1319839 2639678 3959517 5279356 7919034 10558712 11878551 15838068 17157907 21117424 22437263 23757102 31676136 34315814 44874526 47514204 51473721 63352272 67311789 68631628 89749052 95028408 102947442 134623578 137263256 154421163 179498104 190056816 201935367 205894884 269247156 274526512 291684419 308842326 358996208 403870734 411789768 538494312 583368838 617684652 807741468 823579536 875053257 1076988624 1166737676 1235369304 1615482936 1750106514 2333475352 2470738608 2625159771 3230965872 3500213028 4666950704 5250319542 7000426056 10500639084 14000852112 21001278168 42002556336