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99144444654 = 232191392338951
BaseRepresentation
bin101110001010101111…
…0000010101011101110
3100110220112202121221200
41130111132002223232
53111021434212104
6113314001310330
710106614606023
oct1342536025356
9313815677850
1099144444654
11390574aa772
121726b3353a6
1394704a7988
144b2759354a
1528a408bb39
hex1715782aee

99144444654 has 96 divisors (see below), whose sum is σ = 228748665600. Its totient is φ = 30946665600.

The previous prime is 99144444653. The next prime is 99144444727. The reversal of 99144444654 is 45644444199.

It is a happy number.

99144444654 is a `hidden beast` number, since 9 + 9 + 144 + 4 + 446 + 54 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 99144444654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99144444653) 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, 11071879 + ... + 11080829.

It is an arithmetic number, because the mean of its divisors is an integer number (2382798600).

Almost surely, 299144444654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99144444654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114374332800).

99144444654 is an abundant number, since it is smaller than the sum of its proper divisors (129604220946).

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

99144444654 is a wasteful number, since it uses less digits than its factorization.

99144444654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9350 (or 9347 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 99144444654 in words is "ninety-nine billion, one hundred forty-four million, four hundred forty-four thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 139 171 233 278 342 417 466 699 834 1251 1398 2097 2502 2641 4194 4427 5282 7923 8854 8951 13281 15846 17902 23769 26562 26853 32387 39843 47538 53706 64774 79686 80559 97161 161118 170069 194322 291483 340138 510207 582966 615353 1020414 1230706 1244189 1530621 1846059 2085583 2488378 3061242 3692118 3732567 4171166 5538177 6256749 7465134 11076354 11197701 12513498 18770247 22395402 23639591 37540494 39626077 47279182 70918773 79252154 118878231 141837546 212756319 237756462 289896037 356634693 425512638 579792074 713269386 869688111 1739376222 2609064333 5218128666 5508024703 11016049406 16524074109 33048148218 49572222327 99144444654