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20122625740672 = 277138320813983
BaseRepresentation
bin1001001001101001010011…
…11101011000111110000000
32122020201000101102120012201
410210310221331120332000
510114142114142200142
6110444112345202544
74144545265433620
oct444645175307600
978221011376181
1020122625740672
116458a596a8a74
12230ba96790454
13b2c72b4843c0
144d7d241c6880
1524d680603ab7
hex124d29f58f80

20122625740672 has 128 divisors (see below), whose sum is σ = 49933580175360. Its totient is φ = 7864687982592.

The previous prime is 20122625740661. The next prime is 20122625740739. The reversal of 20122625740672 is 27604752622102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×201226257406723 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9440208 + ... + 11373775.

It is an arithmetic number, because the mean of its divisors is an integer number (390106095120).

Almost surely, 220122625740672 is an apocalyptic number.

It is an amenable number.

20122625740672 is an abundant number, since it is smaller than the sum of its proper divisors (29810954434688).

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

20122625740672 is a wasteful number, since it uses less digits than its factorization.

20122625740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20814100 (or 20814088 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 20122625740672 in words is "twenty trillion, one hundred twenty-two billion, six hundred twenty-five million, seven hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 83 91 104 112 128 166 182 208 224 332 364 416 448 581 664 728 832 896 1079 1162 1328 1456 1664 2158 2324 2656 2912 4316 4648 5312 5824 7553 8632 9296 10624 11648 15106 17264 18592 30212 34528 37184 60424 69056 74368 120848 138112 241696 483392 966784 20813983 41627966 83255932 145697881 166511864 270581779 291395762 333023728 541163558 582791524 666047456 1082327116 1165583048 1332094912 1727560589 1894072453 2164654232 2331166096 2664189824 3455121178 3788144906 4329308464 4662332192 6910242356 7576289812 8658616928 9324664384 12092924123 13820484712 15152579624 17317233856 18649328768 22458287657 24185848246 27640969424 30305159248 34634467712 44916575314 48371696492 55281938848 60610318496 89833150628 96743392984 110563877696 121220636992 157208013599 179666301256 193486785968 221127755392 242441273984 314416027198 359332602512 386973571936 628832054396 718665205024 773947143872 1257664108792 1437330410048 1547894287744 2515328217584 2874660820096 5030656435168 10061312870336 20122625740672