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99536338944 = 218337341
BaseRepresentation
bin101110010110011010…
…1000000000000000000
3100111220212011220212000
41130230311000000000
53112322300321234
6113420521104000
710122413631000
oct1345465000000
9314825156760
1099536338944
1139238739749
121735a628000
13950373b9a3
144b63648000
1528c869d899
hex172cd40000

99536338944 has 608 divisors, whose sum is σ = 352320864000. Its totient is φ = 27745320960.

The previous prime is 99536338919. The next prime is 99536338961. The reversal of 99536338944 is 44983363599.

99536338944 is a `hidden beast` number, since 9 + 9 + 536 + 3 + 3 + 8 + 94 + 4 = 666.

99536338944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2427715564 + ... + 2427715604.

Almost surely, 299536338944 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 99536338944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176160432000).

99536338944 is an abundant number, since it is smaller than the sum of its proper divisors (252784525056).

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

99536338944 is an frugal number, since it uses more digits than its factorization.

99536338944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 53 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 63.

The spelling of 99536338944 in words is "ninety-nine billion, five hundred thirty-six million, three hundred thirty-eight thousand, nine hundred forty-four".