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42247886688 = 25357776159
BaseRepresentation
bin100111010110001010…
…111001011101100000
311001001022212000100000
4213112022321131200
51143010424333223
631224114500000
73023641053210
oct472612713540
9131038760300
1042247886688
1116a0a915637
128230894600
133ca39ac427
14208ad52240
151174012543
hex9d62b9760

42247886688 has 144 divisors (see below), whose sum is σ = 142391208960. Its totient is φ = 12070809216.

The previous prime is 42247886669. The next prime is 42247886693. The reversal of 42247886688 is 88668874224.

42247886688 is a `hidden beast` number, since 4 + 2 + 2 + 478 + 86 + 6 + 88 = 666.

42247886688 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 333648 + ... + 442511.

It is an arithmetic number, because the mean of its divisors is an integer number (988827840).

Almost surely, 242247886688 is an apocalyptic number.

42247886688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42247886688 is an abundant number, since it is smaller than the sum of its proper divisors (100143322272).

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

42247886688 is an equidigital number, since it uses as much as digits as its factorization.

42247886688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776191 (or 776171 counting only the distinct ones).

The product of its digits is 66060288, while the sum is 63.

The spelling of 42247886688 in words is "forty-two billion, two hundred forty-seven million, eight hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432 776159 1552318 2328477 3104636 4656954 5433113 6209272 6985431 9313908 10866226 12418544 13970862 16299339 18627816 20956293 21732452 24837088 27941724 32598678 37255632 41912586 43464904 48898017 55883448 62868879 65197356 74511264 83825172 86929808 97796034 111766896 125737758 130394712 146694051 167650344 173859616 188606637 195592068 223533792 251475516 260789424 293388102 335300688 377213274 391184136 440082153 502951032 521578848 586776204 670601376 754426548 782368272 880164306 1005902064 1173552408 1320246459 1508853096 1564736544 1760328612 2011804128 2347104816 2640492918 3017706192 3520657224 4694209632 5280985836 6035412384 7041314448 10561971672 14082628896 21123943344 42247886688