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20759689314 = 2337134224601
BaseRepresentation
bin10011010101010111…
…111011100001100010
31222120210000111002000
4103111113323201202
5320003440024224
613311544104430
71333305306360
oct232527734142
958523014060
1020759689314
118893337931
124034465116
131c5abb5740
14100d15a630
158177ce0c9
hex4d55fb862

20759689314 has 64 divisors (see below), whose sum is σ = 56778650880. Its totient is φ = 5475081600.

The previous prime is 20759689309. The next prime is 20759689331. The reversal of 20759689314 is 41398695702.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2107387 + ... + 2117214.

It is an arithmetic number, because the mean of its divisors is an integer number (887166420).

It is a 1-persistent number, because it is pandigital, but 2⋅20759689314 = 41519378628 is not.

Almost surely, 220759689314 is an apocalyptic number.

20759689314 is an abundant number, since it is smaller than the sum of its proper divisors (36018961566).

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

20759689314 is a wasteful number, since it uses less digits than its factorization.

20759689314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224632 (or 4224626 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 20759689314 in words is "twenty billion, seven hundred fifty-nine million, six hundred eighty-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 4224601 8449202 12673803 25347606 29572207 38021409 54919813 59144414 76042818 88716621 109839626 114064227 164759439 177433242 228128454 266149863 329518878 384438691 494278317 532299726 768877382 798449589 988556634 1153316073 1482834951 1596899178 2306632146 2965669902 3459948219 6919896438 10379844657 20759689314