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21977929283112 = 23331123402172619
BaseRepresentation
bin1001111111101001000101…
…01010101111011000101000
32212211001212200100202211000
410333310202222233120220
510340041244344024422
6114424304335035000
74425565401360405
oct477644252573050
985731780322730
1021977929283112
117003873131630
12256b57806ba60
13c356821661ca
1455da477dd2ac
15281a6a416cac
hex13fd22aaf628

21977929283112 has 128 divisors (see below), whose sum is σ = 69495428736000. Its totient is φ = 6370414269120.

The previous prime is 21977929283111. The next prime is 21977929283119. The reversal of 21977929283112 is 21138292977912.

21977929283112 is a `hidden beast` number, since 2 + 1 + 97 + 79 + 292 + 83 + 112 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21977929283112.

It is not an unprimeable number, because it can be changed into a prime (21977929283111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201031662 + ... + 201140957.

It is an arithmetic number, because the mean of its divisors is an integer number (542933037000).

Almost surely, 221977929283112 is an apocalyptic number.

21977929283112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21977929283112 is an abundant number, since it is smaller than the sum of its proper divisors (47517499452888).

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

21977929283112 is a wasteful number, since it uses less digits than its factorization.

21977929283112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402172668 (or 402172658 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 63.

The spelling of 21977929283112 in words is "twenty-one trillion, nine hundred seventy-seven billion, nine hundred twenty-nine million, two hundred eighty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 88 92 99 108 132 138 184 198 207 216 253 264 276 297 396 414 506 552 594 621 759 792 828 1012 1188 1242 1518 1656 2024 2277 2376 2484 3036 4554 4968 6072 6831 9108 13662 18216 27324 54648 402172619 804345238 1206517857 1608690476 2413035714 3217380952 3619553571 4423898809 4826071428 7239107142 8847797618 9249970237 9652142856 10858660713 13271696427 14478214284 17695595236 18499940474 21717321426 26543392854 27749910711 28956428568 35391190472 36999880948 39815089281 43434642852 53086785708 55499821422 73999761896 79630178562 83249732133 86869285704 101749672607 106173571416 110999642844 119445267843 159260357124 166499464266 203499345214 221999285688 238890535686 249749196399 305249017821 318520714248 332998928532 406998690428 477781071372 499498392798 610498035642 665997857064 813997380856 915747053463 955562142744 998996785596 1220996071284 1831494106926 1997993571192 2441992142568 2747241160389 3662988213852 5494482320778 7325976427704 10988964641556 21977929283112