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185242072704 = 27313172182811
BaseRepresentation
bin1010110010000101001…
…0011011011010000000
3122201010211122022010120
42230201102123122000
511013333432311304
6221033220300240
716245320431623
oct2544122333200
9581124568116
10185242072704
1171619358a77
122ba99241680
131461199b510
148d740b1dba
154c42a2a0d9
hex2b2149b680

185242072704 has 128 divisors (see below), whose sum is σ = 561069996480. Its totient is φ = 53644738560.

The previous prime is 185242072699. The next prime is 185242072711. The reversal of 185242072704 is 407270242581.

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

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, 1006542 + ... + 1176269.

Almost surely, 2185242072704 is an apocalyptic number.

It is an amenable number.

185242072704 is an abundant number, since it is smaller than the sum of its proper divisors (375827923776).

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

185242072704 is a wasteful number, since it uses less digits than its factorization.

185242072704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182858 (or 2182846 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The spelling of 185242072704 in words is "one hundred eighty-five billion, two hundred forty-two million, seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 272 312 384 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 3264 3536 4992 5304 6528 7072 10608 14144 21216 28288 42432 84864 2182811 4365622 6548433 8731244 13096866 17462488 26193732 28376543 34924976 37107787 52387464 56753086 69849952 74215574 85129629 104774928 111323361 113506172 139699904 148431148 170259258 209549856 222646722 227012344 279399808 296862296 340518516 419099712 445293444 454024688 482401231 593724592 681037032 838199424 890586888 908049376 964802462 1187449184 1362074064 1447203693 1781173776 1816098752 1929604924 2374898368 2724148128 2894407386 3562347552 3632197504 3859209848 4749796736 5448296256 5788814772 7124695104 7718419696 10896592512 11577629544 14249390208 15436839392 23155259088 30873678784 46310518176 61747357568 92621036352 185242072704