Search a number
-
+
99541300186944 = 263272111729650347
BaseRepresentation
bin10110101000100001000011…
…110101101000111101000000
3111001110001111100200200201200
4112220201003311220331000
5101021341040321440234
6551412350401501200
726652423133103100
oct2650410365507500
9431401440620650
1099541300186944
1129798256a12490
12b1b7930041800
13437092054c815
141a81b78b29200
15b7946e89dd99
hex5a8843d68f40

99541300186944 has 1008 divisors, whose sum is σ = 396590899049280. Its totient is φ = 23494867845120.

The previous prime is 99541300186841. The next prime is 99541300186949. The reversal of 99541300186944 is 44968100314599.

99541300186944 is a `hidden beast` number, since 9 + 9 + 541 + 3 + 0 + 0 + 1 + 86 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99541300186949) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 152733579 + ... + 153383925.

Almost surely, 299541300186944 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 99541300186944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198295449524640).

99541300186944 is an abundant number, since it is smaller than the sum of its proper divisors (297049598862336).

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

99541300186944 is a wasteful number, since it uses less digits than its factorization.

99541300186944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650436 (or 650416 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 99541300186944 in words is "ninety-nine trillion, five hundred forty-one billion, three hundred million, one hundred eighty-six thousand, nine hundred forty-four".