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45293833839254 = 2711131131373145823
BaseRepresentation
bin10100100110001110010101…
…11000000110001010010110
312221101001022011020202002212
422103013022320012022112
521414043232430324004
6240155411111433422
712353241266164310
oct1223071270061226
9187331264222085
1045293833839254
1113483009438010
1250b62b9385872
131c37261b54bb0
14b2833a0a07b0
155382e35e196e
hex2931cae06296

45293833839254 has 128 divisors (see below), whose sum is σ = 92096073474048. Its totient is φ = 16133466101760.

The previous prime is 45293833839251. The next prime is 45293833839283.

45293833839254 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×452938338392542 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45293833839251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310535387 + ... + 310681209.

It is an arithmetic number, because the mean of its divisors is an integer number (719500574016).

Almost surely, 245293833839254 is an apocalyptic number.

45293833839254 is an abundant number, since it is smaller than the sum of its proper divisors (46802239634794).

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

45293833839254 is a wasteful number, since it uses less digits than its factorization.

45293833839254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147342.

The product of its digits is 671846400, while the sum is 68.

The spelling of 45293833839254 in words is "forty-five trillion, two hundred ninety-three billion, eight hundred thirty-three million, eight hundred thirty-nine thousand, two hundred fifty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 113 143 154 182 226 286 791 1001 1243 1373 1469 1582 2002 2486 2746 2938 8701 9611 10283 15103 16159 17402 17849 19222 20566 30206 32318 35698 105721 113113 124943 145823 155149 196339 211442 226226 249886 291646 310298 392678 1020761 1086043 1374373 1604053 1706639 1895699 2016937 2041522 2172086 2748746 3208106 3413278 3791398 4033874 11228371 11946473 13269893 14118559 16477999 20852689 22186307 22456742 23892946 26539786 28237118 32955998 41705378 44372614 115345993 145968823 155304149 181257989 200214979 214213987 230691986 291937646 310608298 362515978 400429958 428427974 1268805923 1401504853 1499497909 2202364769 2356353857 2537611846 2602794727 2803009706 2998995818 4404729538 4712707714 5205589454 15416553383 16494476999 18219563089 22624292627 28630741997 30833106766 32988953998 36439126178 45248585254 57261483994 158370048389 200415193979 248867218897 294115804151 316740096778 400830387958 497734437794 588231608302 1742070532279 2058810629057 3235273845661 3484141064558 4117621258114 6470547691322 22646916919627 45293833839254