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20116717653375 = 3253714917144321
BaseRepresentation
bin1001001001011110010011…
…10011110100110101111111
32122020010202122022122001200
410210233021303310311333
510114043014204402000
6110441254214310543
74144246005505410
oct444571163646577
978203678278050
1020116717653375
1164564a77455a2
12230a908058453
13b2bcc945a065
144d79236a1807
1524d436ac4500
hex124bc9cf4d7f

20116717653375 has 96 divisors (see below), whose sum is σ = 41722422019200. Its totient is φ = 9134493696000.

The previous prime is 20116717653317. The next prime is 20116717653413. The reversal of 20116717653375 is 57335671761102.

20116717653375 is a `hidden beast` number, since 20 + 1 + 1 + 6 + 7 + 17 + 6 + 533 + 75 = 666.

It is not a de Polignac number, because 20116717653375 - 26 = 20116717653311 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7398786 + ... + 9745535.

It is an arithmetic number, because the mean of its divisors is an integer number (434608562700).

Almost surely, 220116717653375 is an apocalyptic number.

20116717653375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20116717653375 is an abundant number, since it is smaller than the sum of its proper divisors (21605704365825).

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

20116717653375 is a wasteful number, since it uses less digits than its factorization.

20116717653375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17144498 (or 17144485 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 20116717653375 in words is "twenty trillion, one hundred sixteen billion, seven hundred seventeen million, six hundred fifty-three thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 149 175 225 315 375 447 525 745 875 1043 1125 1341 1575 2235 2625 3129 3725 5215 6705 7875 9387 11175 15645 18625 26075 33525 46935 55875 78225 130375 167625 234675 391125 1173375 17144321 51432963 85721605 120010247 154298889 257164815 360030741 428608025 600051235 771494445 1080092223 1285824075 1800153705 2143040125 2554503829 3000256175 3857472225 5400461115 6429120375 7663511487 9000768525 12772519145 15001280875 17881526803 19287361125 22990534461 27002305575 38317557435 45003842625 53644580409 63862595725 89407634015 114952672305 135011527875 160933741227 191587787175 268222902045 319312978625 447038170075 574763361525 804668706135 957938935875 1341114510225 2235190850375 2873816807625 4023343530675 6705572551125 20116717653375