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13920563832 = 23371716932879
BaseRepresentation
bin11001111011011101…
…01111001001111000
31022221010222220122020
430331232233021320
5212002131020312
610221153554440
71001651561130
oct147556571170
938833886566
1013920563832
1159a388270a
122845b75a20
13140b018326
14960b19ac0
1556719178c
hex33dbaf278

13920563832 has 128 divisors (see below), whose sum is σ = 42152140800. Its totient is φ = 3739834368.

The previous prime is 13920563759. The next prime is 13920563837. The reversal of 13920563832 is 23836502931.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13920563837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4833769 + ... + 4836647.

It is an arithmetic number, because the mean of its divisors is an integer number (329313600).

Almost surely, 213920563832 is an apocalyptic number.

13920563832 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 13920563832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21076070400).

13920563832 is an abundant number, since it is smaller than the sum of its proper divisors (28231576968).

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

13920563832 is a wasteful number, since it uses less digits than its factorization.

13920563832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 13920563832 in words is "thirteen billion, nine hundred twenty million, five hundred sixty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 1693 2856 2879 3386 5079 5758 6772 8637 10158 11516 11851 13544 17274 20153 20316 23032 23702 28781 34548 35553 40306 40632 47404 48943 57562 60459 69096 71106 80612 86343 94808 97886 115124 120918 142212 146829 161224 172686 195772 201467 230248 241836 284424 293658 342601 345372 391544 402934 483672 587316 604401 685202 690744 805868 1027803 1174632 1208802 1370404 1611736 2055606 2417604 2740808 4111212 4835208 4874147 8222424 9748294 14622441 19496588 29244882 34119029 38993176 58489764 68238058 82860499 102357087 116979528 136476116 165720998 204714174 248581497 272952232 331441996 409428348 497162994 580023493 662883992 818856696 994325988 1160046986 1740070479 1988651976 2320093972 3480140958 4640187944 6960281916 13920563832