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6428471763516 = 22311337201771647
BaseRepresentation
bin101110110001011111011…
…0001101010001000111100
3211202120000020202100220220
41131202332301222020330
51320311002232413031
621401111003541340
71232304344261115
oct135427661521074
924676006670826
106428471763516
1120593327a2120
12879a6a22a850
1337828256588a
141831d546720c
15b2345234596
hex5d8bec6a23c

6428471763516 has 96 divisors (see below), whose sum is σ = 16420304689152. Its totient is φ = 1941251235840.

The previous prime is 6428471763503. The next prime is 6428471763547. The reversal of 6428471763516 is 6153671748246.

It is a super-2 number, since 2×64284717635162 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6428471763516.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89688405 + ... + 89760051.

It is an arithmetic number, because the mean of its divisors is an integer number (171044840512).

Almost surely, 26428471763516 is an apocalyptic number.

6428471763516 is a gapful number since it is divisible by the number (66) 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 6428471763516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8210152344576).

6428471763516 is an abundant number, since it is smaller than the sum of its proper divisors (9991832925636).

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

6428471763516 is a wasteful number, since it uses less digits than its factorization.

6428471763516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74019 (or 74017 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

The spelling of 6428471763516 in words is "six trillion, four hundred twenty-eight billion, four hundred seventy-one million, seven hundred sixty-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 337 674 1011 1348 2017 2022 3707 4034 4044 6051 7414 8068 11121 12102 14828 22187 22242 24204 44374 44484 66561 71647 88748 133122 143294 214941 266244 286588 429882 679729 788117 859764 1359458 1576234 2039187 2364351 2718916 3152468 4078374 4728702 7477019 8156748 9457404 14954038 22431057 24145039 29908076 44862114 48290078 72435117 89724228 96580156 144511999 144870234 265595429 289023998 289740468 433535997 531190858 578047996 796786287 867071994 1062381716 1589631989 1593572574 1734143988 3179263978 3187145148 4768895967 6358527956 9537791934 19075583868 48700543663 97401087326 146101630989 194802174652 292203261978 535705980293 584406523956 1071411960586 1607117940879 2142823921172 3214235881758 6428471763516