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7426401362226 = 23272112926394847
BaseRepresentation
bin110110000010001100000…
…0000111110000100110010
3222021221211200100111202200
41230010120000332010302
51433133232222042401
623443350334324030
71364353102020600
oct154043000760462
928257750314680
107426401362226
112403578a65970
129bb352959616
1341b3ca9079a2
141b962292a870
15cd29ed2d686
hex6c11803e132

7426401362226 has 144 divisors (see below), whose sum is σ = 21123268957440. Its totient is φ = 1862420333760.

The previous prime is 7426401362221. The next prime is 7426401362251. The reversal of 7426401362226 is 6222631046247.

7426401362226 is a `hidden beast` number, since 7 + 4 + 2 + 6 + 4 + 0 + 13 + 622 + 2 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (7426401362221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12916066 + ... + 13478781.

It is an arithmetic number, because the mean of its divisors is an integer number (146689367760).

Almost surely, 27426401362226 is an apocalyptic number.

7426401362226 is an abundant number, since it is smaller than the sum of its proper divisors (13696867595214).

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

7426401362226 is a wasteful number, since it uses less digits than its factorization.

7426401362226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26394909 (or 26394899 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 7426401362226 in words is "seven trillion, four hundred twenty-six billion, four hundred one million, three hundred sixty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 49 58 63 66 77 87 98 99 126 147 154 174 198 203 231 261 294 319 406 441 462 522 539 609 638 693 882 957 1078 1218 1386 1421 1617 1827 1914 2233 2842 2871 3234 3654 4263 4466 4851 5742 6699 8526 9702 12789 13398 15631 20097 25578 31262 40194 46893 93786 140679 281358 26394847 52789694 79184541 158369082 184763929 237553623 290343317 369527858 475107246 554291787 580686634 765450563 871029951 1108583574 1293347503 1530901126 1662875361 1742059902 2032403219 2296351689 2586695006 2613089853 3325750722 3880042509 4064806438 4592703378 5226179706 5358153941 6097209657 6889055067 7760085018 8419956193 10716307882 11640127527 12194419314 13778110134 14226822533 16074461823 16839912386 18291628971 23280255054 25259868579 28453645066 32148923646 36583257942 37507077587 42680467599 48223385469 50519737158 58939693351 75014155174 75779605737 85360935198 96446770938 112521232761 117879386702 128041402797 151559211474 176819080053 225042465522 256082805594 337563698283 353638160106 412577853457 530457240159 675127396566 825155706914 1060914480318 1237733560371 2475467120742 3713200681113 7426401362226