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20337744714 = 23741173233293
BaseRepresentation
bin10010111100001110…
…010101101101001010
31221111101001110220020
4102330032111231022
5313122430312324
613202032241310
71316662656240
oct227416255512
957441043806
1020337744714
118697143691
123b370a0236
131bc165c891
14dad0c2790
157e0733679
hex4bc395b4a

20337744714 has 128 divisors (see below), whose sum is σ = 48265072128. Its totient is φ = 5592944640.

The previous prime is 20337744611. The next prime is 20337744797. The reversal of 20337744714 is 41744773302.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 69411952 + ... + 69412244.

It is an arithmetic number, because the mean of its divisors is an integer number (377070876).

Almost surely, 220337744714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20337744714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24132536064).

20337744714 is an abundant number, since it is smaller than the sum of its proper divisors (27927327414).

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

20337744714 is a wasteful number, since it uses less digits than its factorization.

20337744714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752.

The product of its (nonzero) digits is 395136, while the sum is 42.

The spelling of 20337744714 in words is "twenty billion, three hundred thirty-seven million, seven hundred forty-four thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 173 233 246 287 293 346 466 519 574 586 699 861 879 1038 1211 1398 1631 1722 1758 2051 2422 3262 3633 4102 4893 6153 7093 7266 9553 9786 12013 12306 14186 19106 21279 24026 28659 36039 40309 42558 49651 50689 57318 66871 68269 72078 80618 84091 99302 101378 120927 133742 136538 148953 152067 168182 200613 204807 241854 252273 282163 297906 304134 354823 401226 409614 477883 504546 564326 709646 846489 955766 1064469 1433649 1652669 1692978 2078249 2128938 2799029 2867298 3305338 4156498 4958007 5598058 6234747 8397087 9916014 11568683 11810537 12469494 14547743 16794174 19593203 23137366 23621074 29095486 34706049 35431611 39186406 43643229 58779609 69412098 70863222 82673759 87286458 117559218 165347518 248021277 484232017 496042554 968464034 1452696051 2905392102 3389624119 6779248238 10168872357 20337744714