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99134607879072 = 253226311811108223
BaseRepresentation
bin10110100010100110010011…
…000101100110101110100000
3111000000011202021100212012100
4112202212103011212232200
5100443210134104112242
6550501450554130400
726611144666400313
oct2642462305465640
9430004667325170
1099134607879072
1129650829794137
12b150b4b720a00
13434147959a5bc
141a6a1d7c2297a
15b6daba6b954c
hex5a2993166ba0

99134607879072 has 144 divisors (see below), whose sum is σ = 283225828773888. Its totient is φ = 32891319697920.

The previous prime is 99134607879061. The next prime is 99134607879113. The reversal of 99134607879072 is 27097870643199.

99134607879072 is a `hidden beast` number, since 9 + 9 + 1 + 3 + 4 + 607 + 8 + 7 + 9 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88899553 + ... + 90007775.

It is an arithmetic number, because the mean of its divisors is an integer number (1966846033152).

Almost surely, 299134607879072 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 99134607879072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141612914386944).

99134607879072 is an abundant number, since it is smaller than the sum of its proper divisors (184091220894816).

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

99134607879072 is a wasteful number, since it uses less digits than its factorization.

99134607879072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109683 (or 1109672 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 99134607879072 in words is "ninety-nine trillion, one hundred thirty-four billion, six hundred seven million, eight hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 263 288 526 789 1052 1181 1578 2104 2362 2367 3156 3543 4208 4724 4734 6312 7086 8416 9448 9468 10629 12624 14172 18896 18936 21258 25248 28344 37792 37872 42516 56688 75744 85032 113376 170064 310603 340128 621206 931809 1108223 1242412 1863618 2216446 2484824 2795427 3324669 3727236 4432892 4969648 5590854 6649338 7454472 8865784 9939296 9974007 11181708 13298676 14908944 17731568 19948014 22363416 26597352 29817888 35463136 39896028 44726832 53194704 79792056 89453664 106389408 159584112 291462649 319168224 582925298 874387947 1165850596 1308811363 1748775894 2331701192 2617622726 2623163841 3497551788 3926434089 4663402384 5235245452 5246327682 6995103576 7852868178 9326804768 10470490904 10492655364 11779302267 13990207152 15705736356 20940981808 20985310728 23558604534 27980414304 31411472712 41881963616 41970621456 47117209068 62822945424 83941242912 94234418136 125645890848 188468836272 344217388469 376937672544 688434776938 1032652165407 1376869553876 2065304330814 2753739107752 3097956496221 4130608661628 5507478215504 6195912992442 8261217323256 11014956431008 12391825984884 16522434646512 24783651969768 33044869293024 49567303939536 99134607879072