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59442724044 = 223311199251437
BaseRepresentation
bin110111010111000011…
…111111110011001100
312200102122222020212000
4313113003333303030
51433214314132134
643150235512300
74203021550314
oct672703776314
9180378866760
1059442724044
1123233960420
12b62b2b8690
1357b416ccc2
142c3c86c444
15182d873e99
hexdd70ffccc

59442724044 has 96 divisors (see below), whose sum is σ = 168966336000. Its totient is φ = 17922358080.

The previous prime is 59442724031. The next prime is 59442724091. The reversal of 59442724044 is 44042724495.

It is a super-3 number, since 3×594427240443 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110694 + ... + 362130.

It is an arithmetic number, because the mean of its divisors is an integer number (1760066000).

Almost surely, 259442724044 is an apocalyptic number.

59442724044 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59442724044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84483168000).

59442724044 is an abundant number, since it is smaller than the sum of its proper divisors (109523611956).

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

59442724044 is a wasteful number, since it uses less digits than its factorization.

59442724044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251660 (or 251652 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 59442724044 in words is "fifty-nine billion, four hundred forty-two million, seven hundred twenty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 199 297 396 398 594 597 796 1188 1194 1791 2189 2388 3582 4378 5373 6567 7164 8756 10746 13134 19701 21492 26268 39402 59103 78804 118206 236412 251437 502874 754311 1005748 1508622 2262933 2765807 3017244 4525866 5531614 6788799 8297421 9051732 11063228 13577598 16594842 24892263 27155196 33189684 49784526 50035963 74676789 99569052 100071926 149353578 150107889 200143852 298707156 300215778 450323667 550395593 600431556 900647334 1100791186 1350971001 1651186779 1801294668 2201582372 2701942002 3302373558 4953560337 5403884004 6604747116 9907120674 14860681011 19814241348 29721362022 59442724044