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20097792176688 = 2432474239170051
BaseRepresentation
bin1001001000111011000011…
…10000110111001000110000
32122011022220200200210200200
410210131201300313020300
510113240234244123223
6110424444231515200
74143006011555502
oct444354160671060
978138820623620
1020097792176688
11644947580a876
122307105b28b00
13b2a2a1582c45
144d6a49da5d72
1524cbca35aa43
hex124761c37230

20097792176688 has 120 divisors (see below), whose sum is σ = 57444800964096. Its totient is φ = 6556478256000.

The previous prime is 20097792176663. The next prime is 20097792176711. The reversal of 20097792176688 is 88667129779002.

20097792176688 is a `hidden beast` number, since 200 + 9 + 7 + 79 + 217 + 66 + 88 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286867263 + ... + 286937313.

Almost surely, 220097792176688 is an apocalyptic number.

It is an amenable number.

20097792176688 is an abundant number, since it is smaller than the sum of its proper divisors (37347008787408).

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

20097792176688 is a wasteful number, since it uses less digits than its factorization.

20097792176688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112503 (or 112494 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 20097792176688 in words is "twenty trillion, ninety-seven billion, seven hundred ninety-two million, one hundred seventy-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 42391 70051 84782 127173 140102 169564 210153 254346 280204 339128 381519 420306 508692 560408 630459 678256 763038 840612 1017384 1120816 1260918 1526076 1681224 1992377 2034768 2521836 3052152 3292397 3362448 3984754 5043672 5977131 6104304 6584794 7969508 9877191 10087344 11954262 13169588 15939016 17931393 19754382 23908524 26339176 29631573 31878032 35862786 39508764 47817048 52678352 59263146 71725572 79017528 95634096 118526292 143451144 158035056 237052584 286902288 474105168 2969531941 5939063882 8908595823 11878127764 17817191646 23756255528 26725787469 35634383292 47512511056 53451574938 71268766584 106903149876 139568001227 142537533168 213806299752 279136002454 418704003681 427612599504 558272004908 837408007362 1116544009816 1256112011043 1674816014724 2233088019632 2512224022086 3349632029448 5024448044172 6699264058896 10048896088344 20097792176688