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41269997009664 = 283225769697763
BaseRepresentation
bin10010110001000111010111…
…00000101111101100000000
312102010101002001100122012100
421120203223200233230000
520402131423213302124
6223435101435430400
711456441666363163
oct1130435340575400
9172111061318170
1041269997009664
1112171564450585
12476649a5b5400
131a049897c0987
14a2969b07bada
154b87d9b271c9
hex2588eb82fb00

41269997009664 has 108 divisors (see below), whose sum is σ = 119454579533016. Its totient is φ = 13703137591296.

The previous prime is 41269997009639. The next prime is 41269997009711. The reversal of 41269997009664 is 46690079996214.

41269997009664 is a `hidden beast` number, since 412 + 69 + 9 + 9 + 7 + 0 + 0 + 96 + 64 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 41269997009592 and 41269997009601.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34256754 + ... + 35441009.

It is an arithmetic number, because the mean of its divisors is an integer number (1106060921602).

Almost surely, 241269997009664 is an apocalyptic number.

It is an amenable number.

41269997009664 is an abundant number, since it is smaller than the sum of its proper divisors (78184582523352).

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

41269997009664 is a wasteful number, since it uses less digits than its factorization.

41269997009664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69698042 (or 69698025 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 41269997009664 in words is "forty-one trillion, two hundred sixty-nine billion, nine hundred ninety-seven million, nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 257 288 384 514 576 768 771 1028 1152 1542 2056 2304 2313 3084 4112 4626 6168 8224 9252 12336 16448 18504 24672 32896 37008 49344 65792 74016 98688 148032 197376 296064 592128 69697763 139395526 209093289 278791052 418186578 557582104 627279867 836373156 1115164208 1254559734 1672746312 2230328416 2509119468 3345492624 4460656832 5018238936 6690985248 8921313664 10036477872 13381970496 17842627328 17912325091 20072955744 26763940992 35824650182 40145911488 53527881984 53736975273 71649300364 80291822976 107473950546 143298600728 160583645952 161210925819 214947901092 286597201456 322421851638 429895802184 573194402912 644843703276 859791604368 1146388805824 1289687406552 1719583208736 2292777611648 2579374813104 3439166417472 4585555223296 5158749626208 6878332834944 10317499252416 13756665669888 20634998504832 41269997009664