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20957150837120 = 27566191494713
BaseRepresentation
bin1001100001111011101111…
…00001111111100110000000
32202012111001212121220221012
410300331313201333212000
510221330221103241440
6112323325430220052
74262050506631541
oct460756741774600
982174055556835
1020957150837120
11674a972328723
1224257774b4628
13b90335148714
1452648d9564c8
15265224918e65
hex130f7787f980

20957150837120 has 64 divisors (see below), whose sum is σ = 50101546904640. Its totient is φ = 8382716743680.

The previous prime is 20957150837093. The next prime is 20957150837131. The reversal of 20957150837120 is 2173805175902.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42114884 + ... + 42609596.

It is an arithmetic number, because the mean of its divisors is an integer number (782836670385).

Almost surely, 220957150837120 is an apocalyptic number.

20957150837120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20957150837120 is an abundant number, since it is smaller than the sum of its proper divisors (29144396067520).

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

20957150837120 is an equidigital number, since it uses as much as digits as its factorization.

20957150837120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560923 (or 560911 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 50.

The spelling of 20957150837120 in words is "twenty trillion, nine hundred fifty-seven billion, one hundred fifty million, eight hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 66191 132382 264764 330955 494713 529528 661910 989426 1059056 1323820 1978852 2118112 2473565 2647640 3957704 4236224 4947130 5295280 7915408 8472448 9894260 10590560 15830816 19788520 21181120 31661632 39577040 42362240 63323264 79154080 158308160 316616320 32745548183 65491096366 130982192732 163727740915 261964385464 327455481830 523928770928 654910963660 1047857541856 1309821927320 2095715083712 2619643854640 4191430167424 5239287709280 10478575418560 20957150837120