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99468059152 = 247111923184753
BaseRepresentation
bin101110010100011000…
…0100010001000010000
3100111202002200221120211
41130220300202020100
53112202310343102
6113410041413504
710120624360360
oct1345060421020
9314662627524
1099468059152
1139203143070
121733b79a294
1394c2553147
144b585529a0
1528c26b27d7
hex1728c22210

99468059152 has 160 divisors (see below), whose sum is σ = 263917393920. Its totient is φ = 35117660160.

The previous prime is 99468059087. The next prime is 99468059161. The reversal of 99468059152 is 25195086499.

99468059152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446008 + ... + 630760.

It is an arithmetic number, because the mean of its divisors is an integer number (1649483712).

Almost surely, 299468059152 is an apocalyptic number.

99468059152 is a gapful number since it is divisible by the number (92) 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 99468059152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131958696960).

99468059152 is an abundant number, since it is smaller than the sum of its proper divisors (164449334768).

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

99468059152 is a wasteful number, since it uses less digits than its factorization.

99468059152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184821 (or 184815 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 58.

The spelling of 99468059152 in words is "ninety-nine billion, four hundred sixty-eight million, fifty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 23 28 38 44 46 56 76 77 88 92 112 133 152 154 161 176 184 209 253 266 304 308 322 368 418 437 506 532 616 644 836 874 1012 1064 1232 1288 1463 1672 1748 1771 2024 2128 2576 2926 3059 3344 3496 3542 4048 4807 5852 6118 6992 7084 9614 11704 12236 14168 19228 23408 24472 28336 33649 38456 48944 67298 76912 134596 184753 269192 369506 538384 739012 1293271 1478024 2032283 2586542 2956048 3510307 4064566 4249319 5173084 7020614 8129132 8498638 10346168 14041228 14225981 16258264 16997276 20692336 24572149 28082456 28451962 29745233 32516528 33994552 38613377 46742509 49144298 56164912 56903924 59490466 67989104 77226754 80737061 93485018 98288596 113807848 118980932 154453508 161474122 186970036 196577192 227615696 237961864 270293639 308907016 322948244 327197563 373940072 393154384 475923728 540587278 565159427 617814032 645896488 654395126 747880144 888107671 1081174556 1130318854 1291792976 1308790252 1776215342 2162349112 2260637708 2617580504 3552430684 4324698224 4521275416 5235161008 6216753697 7104861368 9042550832 12433507394 14209722736 24867014788 49734029576 99468059152