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13920562032 = 2431343351521
BaseRepresentation
bin11001111011011101…
…01110101101110000
31022221010222211011120
430331232232231300
5212002130441112
610221153542240
71001651552646
oct147556565560
938833884146
1013920562032
1159a3881323
122845b74980
13140b017570
14960b19196
15567190e8c
hex33dbaeb70

13920562032 has 80 divisors (see below), whose sum is σ = 38817911328. Its totient is φ = 4273274880.

The previous prime is 13920562031. The next prime is 13920562069. The reversal of 13920562032 is 23026502931.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13920561984 and 13920562002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13920562031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244432 + ... + 295952.

Almost surely, 213920562032 is an apocalyptic number.

13920562032 is a gapful number since it is divisible by the number (12) 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 13920562032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19408955664).

13920562032 is an abundant number, since it is smaller than the sum of its proper divisors (24897349296).

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

13920562032 is a wasteful number, since it uses less digits than its factorization.

13920562032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51978 (or 51972 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 13920562032 in words is "thirteen billion, nine hundred twenty million, five hundred sixty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 433 624 866 1299 1732 2598 3464 5196 5629 6928 10392 11258 16887 20784 22516 33774 45032 51521 67548 90064 103042 135096 154563 206084 270192 309126 412168 618252 669773 824336 1236504 1339546 2009319 2473008 2679092 4018638 5358184 8037276 10716368 16074552 22308593 32149104 44617186 66925779 89234372 133851558 178468744 267703116 290011709 356937488 535406232 580023418 870035127 1070812464 1160046836 1740070254 2320093672 3480140508 4640187344 6960281016 13920562032