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99866448264 = 233111923578447
BaseRepresentation
bin101110100000010000…
…0010001000110001000
3100112202212100012201010
41131000200101012020
53114011302321024
6113513352323520
710133532542562
oct1350040210610
9315685305633
1099866448264
1139398008770
12174310a35a0
139556c4c44b
144b95418332
1528e7658b29
hex1740811188

99866448264 has 128 divisors (see below), whose sum is σ = 286853529600. Its totient is φ = 28654237440.

The previous prime is 99866448251. The next prime is 99866448281. The reversal of 99866448264 is 46284466899.

It is a super-2 number, since 2×998664482642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 99866448195 and 99866448204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11818489 + ... + 11826935.

It is an arithmetic number, because the mean of its divisors is an integer number (2241043200).

Almost surely, 299866448264 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 99866448264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143426764800).

99866448264 is an abundant number, since it is smaller than the sum of its proper divisors (186987081336).

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

99866448264 is a wasteful number, since it uses less digits than its factorization.

99866448264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10843 (or 10839 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 66.

The spelling of 99866448264 in words is "ninety-nine billion, eight hundred sixty-six million, four hundred forty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2357 2508 4714 5016 7071 8447 9428 14142 16894 18856 25341 25927 28284 33788 44783 50682 51854 56568 67576 77781 89566 92917 101364 103708 134349 155562 160493 179132 185834 202728 207416 268698 278751 311124 320986 358264 371668 481479 492613 537396 557502 622248 641972 743336 962958 985226 1074792 1115004 1283944 1477839 1765423 1925916 1970452 2230008 2955678 3530846 3851832 3940904 5296269 5911356 7061692 10592538 11822712 14123384 19909579 21185076 39819158 42370152 59728737 79638316 119457474 159276632 219005369 238914948 378282001 438010738 477829896 657016107 756564002 876021476 1134846003 1314032214 1513128004 1752042952 2269692006 2628064428 3026256008 4161102011 4539384012 5256128856 8322204022 9078768024 12483306033 16644408044 24966612066 33288816088 49933224132 99866448264