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20775900957702 = 2311192886198407
BaseRepresentation
bin1001011100101010001000…
…01100100100110000000110
32201120011020021000001110020
410232111010030210300012
510210343021121121302
6112104152300240010
74243003123240242
oct456250414446006
981504207001406
1020775900957702
116690012511650
1223b6613240006
13b7920b597467
1451b7b7b65422
15260667620ebc
hex12e544324c06

20775900957702 has 96 divisors (see below), whose sum is σ = 47846438809344. Its totient is φ = 5963639774400.

The previous prime is 20775900957689. The next prime is 20775900957809.

20775900957702 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211072983 + ... + 211171389.

It is an arithmetic number, because the mean of its divisors is an integer number (498400404264).

Almost surely, 220775900957702 is an apocalyptic number.

20775900957702 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20775900957702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23923219404672).

20775900957702 is an abundant number, since it is smaller than the sum of its proper divisors (27070537851642).

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

20775900957702 is a wasteful number, since it uses less digits than its factorization.

20775900957702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107322 (or 107303 counting only the distinct ones).

The product of its (nonzero) digits is 19448100, while the sum is 60.

The spelling of 20775900957702 in words is "twenty trillion, seven hundred seventy-five billion, nine hundred million, nine hundred fifty-seven thousand, seven hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 361 418 627 722 1083 1254 2166 3971 7942 8861 11913 17722 23826 26583 53166 97471 98407 168359 194942 196814 292413 295221 336718 505077 584826 590442 1010154 1082477 1851949 1869733 2164954 3198821 3247431 3703898 3739466 5555847 5609199 6397642 6494862 9596463 11111694 11218398 19192926 20567063 35187031 35524927 41134126 61701189 70374062 71049854 105561093 106574781 123402378 211122186 213149562 390774197 781548394 871984427 1172322591 1743968854 2344645182 2615953281 5231906562 9591828697 16567704113 19183657394 28775486091 33135408226 49703112339 57550972182 99406224678 182244745243 314786378147 364489490486 546734235729 629572756294 944359134441 1093468471458 1888718268882 3462650159617 6925300319234 10387950478851 20775900957702