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99913089328 = 24132591573989
BaseRepresentation
bin101110100001101001…
…0001100000100110000
3100112220010002211012221
41131003102030010300
53114110222324303
6113522140130424
710134640150423
oct1350322140460
9315803084187
1099913089328
11394113748a8
1217444836a14
1395637cca00
144b9b6b99ba
1528eb7bd4bd
hex174348c130

99913089328 has 120 divisors (see below), whose sum is σ = 214582359600. Its totient is φ = 45032113152.

The previous prime is 99913089301. The next prime is 99913089329. The reversal of 99913089328 is 82398031999.

99913089328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (99913089329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25045158 + ... + 25049146.

It is an arithmetic number, because the mean of its divisors is an integer number (1788186330).

Almost surely, 299913089328 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 99913089328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107291179800).

99913089328 is an abundant number, since it is smaller than the sum of its proper divisors (114669270272).

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

99913089328 is a wasteful number, since it uses less digits than its factorization.

99913089328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 61.

The spelling of 99913089328 in words is "ninety-nine billion, nine hundred thirteen million, eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 157 169 208 236 314 338 472 628 676 767 944 1256 1352 1534 2041 2512 2704 3068 3989 4082 6136 7978 8164 9263 9971 12272 15956 16328 18526 19942 26533 31912 32656 37052 39884 51857 53066 63824 74104 79768 103714 106132 120419 148208 159536 207428 212264 235351 240838 414856 424528 470702 481676 626273 674141 829712 941404 963352 1252546 1348282 1565447 1882808 1926704 2505092 2696564 3059563 3130894 3765616 5010184 5393128 6119126 6261788 8141549 10020368 10786256 12238252 12523576 16283098 24476504 25047152 32566196 36950107 39774319 48953008 65132392 73900214 79548638 105840137 130264784 147800428 159097276 211680274 295600856 318194552 423360548 480351391 591201712 636389104 846721096 960702782 1693442192 1921405564 3842811128 6244568083 7685622256 12489136166 24978272332 49956544664 99913089328