Search a number
-
+
13700289792 = 28373182207
BaseRepresentation
bin11001100001001100…
…11101010100000000
31022100210111211110110
430300212131110000
5211024233233132
610143244431320
7663335353560
oct146046352400
938323454413
1013700289792
1158a0502552
1227a4248540
1313a44b2c67
1493d77ada0
15552b801cc
hex33099d500

13700289792 has 144 divisors (see below), whose sum is σ = 43016486912. Its totient is φ = 3788052480.

The previous prime is 13700289781. The next prime is 13700289793. The reversal of 13700289792 is 29798200731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13700289793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125553 + ... + 207759.

Almost surely, 213700289792 is an apocalyptic number.

13700289792 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 13700289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21508243456).

13700289792 is an abundant number, since it is smaller than the sum of its proper divisors (29316197120).

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

13700289792 is an equidigital number, since it uses as much as digits as its factorization.

13700289792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82264 (or 82250 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 13700289792 in words is "thirteen billion, seven hundred million, two hundred eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 868 896 992 1302 1344 1488 1736 1792 1984 2604 2688 2976 3472 3968 5208 5376 5952 6944 7936 10416 11904 13888 20832 23808 27776 41664 55552 82207 83328 164414 166656 246621 328828 493242 575449 657656 986484 1150898 1315312 1726347 1972968 2301796 2548417 2630624 3452694 3945936 4603592 5096834 5261248 6905388 7645251 7891872 9207184 10193668 10522496 13810776 15290502 15783744 17838919 18414368 20387336 21044992 27621552 30581004 31567488 35677838 36828736 40774672 53516757 55243104 61162008 63134976 71355676 73657472 81549344 107033514 110486208 122324016 142711352 147314944 163098688 214067028 220972416 244648032 285422704 326197376 428134056 441944832 489296064 570845408 652394752 856268112 978592128 1141690816 1712536224 1957184256 2283381632 3425072448 4566763264 6850144896 13700289792