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69889340468772 = 22351135171858573
BaseRepresentation
bin11111110010000011000010…
…10011111110111000100100
3100011110100121022012010200000
433321001201103332320210
533130031332130000042
6404350415245421300
720502224003111016
oct1771014123767044
9304410538163600
1069889340468772
11202a59a2757490
127a0903286a830
132ccc6c8999746
14133893ac401b6
15812eaea7174c
hex3f90614fee24

69889340468772 has 144 divisors (see below), whose sum is σ = 199920054839232. Its totient is φ = 21172554852480.

The previous prime is 69889340468771. The next prime is 69889340468789. The reversal of 69889340468772 is 27786404398896.

69889340468772 is a `hidden beast` number, since 6 + 9 + 8 + 89 + 3 + 4 + 0 + 468 + 7 + 72 = 666.

It is a super-2 number, since 2×698893404687722 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 69889340468691 and 69889340468700.

It is not an unprimeable number, because it can be changed into a prime (69889340468771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36674478 + ... + 38533050.

Almost surely, 269889340468772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69889340468772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99960027419616).

69889340468772 is an abundant number, since it is smaller than the sum of its proper divisors (130030714370460).

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

69889340468772 is a wasteful number, since it uses less digits than its factorization.

69889340468772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862120 (or 1862106 counting only the distinct ones).

The product of its (nonzero) digits is 7023034368, while the sum is 81.

The spelling of 69889340468772 in words is "sixty-nine trillion, eight hundred eighty-nine billion, three hundred forty million, four hundred sixty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3517 3564 5346 7034 10551 10692 14068 21102 31653 38687 42204 63306 77374 94959 116061 126612 154748 189918 232122 284877 348183 379836 464244 569754 696366 854631 1044549 1139508 1392732 1709262 1858573 2089098 3133647 3418524 3717146 4178196 5575719 6267294 7434292 9400941 11151438 12534588 16727157 18801882 20444303 22302876 33454314 37603764 40888606 50181471 61332909 66908628 81777212 100362942 122665818 150544413 183998727 200725884 245331636 301088826 367997454 451633239 551996181 602177652 735994908 903266478 1103992362 1655988543 1806532956 2207984724 3311977086 4967965629 6536601241 6623954172 9935931258 13073202482 19609803723 19871862516 26146404964 39219607446 58829411169 71902613651 78439214892 117658822338 143805227302 176488233507 215707840953 235317644676 287610454604 352976467014 431415681906 529464700521 647123522859 705952934028 862831363812 1058929401042 1294247045718 1588394101563 1941370568577 2117858802084 2588494091436 3176788203126 3882741137154 5824111705731 6353576406252 7765482274308 11648223411462 17472335117193 23296446822924 34944670234386 69889340468772