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42163370784 = 2532226764579
BaseRepresentation
bin100111010001001000…
…011111101100100000
311000211102211011022100
4213101020133230200
51142322310331114
631211455210400
73021563511153
oct472110375440
9130742734270
1042163370784
111697713a587
128208516a00
133c8c32a712
14207da31c9a
15116b8ba909
hex9d121fb20

42163370784 has 72 divisors (see below), whose sum is σ = 119956833360. Its totient is φ = 14048039808.

The previous prime is 42163370783. The next prime is 42163370797. The reversal of 42163370784 is 48707336124.

42163370784 is a `hidden beast` number, since 4 + 2 + 1 + 633 + 7 + 0 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (42163370783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 620607 + ... + 685185.

It is an arithmetic number, because the mean of its divisors is an integer number (1666067130).

Almost surely, 242163370784 is an apocalyptic number.

It is an amenable number.

42163370784 is an abundant number, since it is smaller than the sum of its proper divisors (77793462576).

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

42163370784 is a wasteful number, since it uses less digits than its factorization.

42163370784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66862 (or 66851 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

It can be divided in two parts, 4216 and 3370784, that added together give a cube (3375000 = 1503).

The spelling of 42163370784 in words is "forty-two billion, one hundred sixty-three million, three hundred seventy thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2267 4534 6801 9068 13602 18136 20403 27204 36272 40806 54408 64579 72544 81612 108816 129158 163224 193737 217632 258316 326448 387474 516632 581211 652896 774948 1033264 1162422 1549896 2066528 2324844 3099792 4649688 6199584 9299376 18598752 146400593 292801186 439201779 585602372 878403558 1171204744 1317605337 1756807116 2342409488 2635210674 3513614232 4684818976 5270421348 7027228464 10540842696 14054456928 21081685392 42163370784