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42175645056 = 273415312657
BaseRepresentation
bin100111010001110111…
…010100010110000000
311000212021220202110000
4213101313110112000
51142333431120211
631213014240000
73022103032206
oct472167242600
9130767822400
1042175645056
1116983063406
128210656000
133c91a374bc
142081509076
15116c9e2656
hex9d1dd4580

42175645056 has 160 divisors (see below), whose sum is σ = 125643287880. Its totient is φ = 14044078080.

The previous prime is 42175645009. The next prime is 42175645153. The reversal of 42175645056 is 65054657124.

42175645056 is a `hidden beast` number, since 421 + 75 + 64 + 50 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15872080 + ... + 15874736.

Almost surely, 242175645056 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 42175645056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62821643940).

42175645056 is an abundant number, since it is smaller than the sum of its proper divisors (83467642824).

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

42175645056 is a wasteful number, since it uses less digits than its factorization.

42175645056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 42175645056 in words is "forty-two billion, one hundred seventy-five million, six hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1531 1728 2592 2657 3062 3456 4593 5184 5314 6124 7971 9186 10368 10628 12248 13779 15942 18372 21256 23913 24496 27558 31884 36744 41337 42512 47826 48992 55116 63768 71739 73488 82674 85024 95652 97984 110232 124011 127536 143478 146976 165348 170048 191304 195968 215217 220464 248022 255072 286956 293952 330696 340096 382608 430434 440928 496044 510144 573912 587904 661392 765216 860868 881856 992088 1020288 1147824 1322784 1530432 1721736 1763712 1984176 2295648 2645568 3060864 3443472 3968352 4067867 4591296 5291136 6886944 7936704 8135734 9182592 12203601 13773888 15873408 16271468 24407202 27547776 32542936 36610803 48814404 65085872 73221606 97628808 109832409 130171744 146443212 195257616 219664818 260343488 292886424 329497227 390515232 439329636 520686976 585772848 658994454 781030464 878659272 1171545696 1317988908 1562060928 1757318544 2343091392 2635977816 3514637088 4686182784 5271955632 7029274176 10543911264 14058548352 21087822528 42175645056