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59849348742 = 23317375413257
BaseRepresentation
bin110111101111010011…
…001001011010000110
312201111000002221002000
4313233103021122012
51440032413124432
643254443130130
74216060033131
oct675723113206
9181430087060
1059849348742
1123422440597
12b723513946
13584a490a31
142c7a879218
1518543e557c
hexdef4c9686

59849348742 has 128 divisors (see below), whose sum is σ = 144939818880. Its totient is φ = 18229432320.

The previous prime is 59849348729. The next prime is 59849348773. The reversal of 59849348742 is 24784394895.

59849348742 is a `hidden beast` number, since 598 + 4 + 9 + 34 + 8 + 7 + 4 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 59849348742.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18373978 + ... + 18377234.

It is an arithmetic number, because the mean of its divisors is an integer number (1132342335).

Almost surely, 259849348742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59849348742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72469909440).

59849348742 is an abundant number, since it is smaller than the sum of its proper divisors (85090470138).

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

59849348742 is a wasteful number, since it uses less digits than its factorization.

59849348742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3863 (or 3857 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 59849348742 in words is "fifty-nine billion, eight hundred forty-nine million, three hundred forty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 102 111 153 222 306 333 459 541 629 666 918 999 1082 1258 1623 1887 1998 3246 3257 3774 4869 5661 6514 9197 9738 9771 11322 14607 16983 18394 19542 20017 27591 29214 29313 33966 40034 55182 55369 58626 60051 82773 87939 110738 120102 120509 165546 166107 175878 180153 241018 248319 332214 340289 360306 361527 496638 498321 540459 680578 723054 996642 1020867 1080918 1084581 1494963 1762037 2041734 2048653 2169162 2989926 3062601 3253743 3524074 4097306 5286111 6125202 6145959 6507486 9187803 10572222 12291918 15858333 18375606 18437877 29954629 31716666 36875754 47574999 55313631 59909258 65195369 89863887 95149998 110627262 130390738 179727774 195586107 269591661 391172214 539183322 586758321 808774983 1108321273 1173516642 1617549966 1760274963 2216642546 3324963819 3520549926 6649927638 9974891457 19949782914 29924674371 59849348742