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99739900512 = 253271919113633
BaseRepresentation
bin101110011100011110…
…1100001101001100000
3100112110001012220211100
41130320331201221200
53113231403304022
6113453032114400
710130435110650
oct1347075415140
9315401186740
1099739900512
113933263454a
12173b6835a00
139536972115
144b826b6360
1528db4ad1ac
hex1738f61a60

99739900512 has 288 divisors, whose sum is σ = 343027077120. Its totient is φ = 26853949440.

The previous prime is 99739900483. The next prime is 99739900517. The reversal of 99739900512 is 21500993799.

99739900512 is a `hidden beast` number, since 9 + 9 + 7 + 39 + 90 + 0 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99739900517) 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, 7309248 + ... + 7322880.

It is an arithmetic number, because the mean of its divisors is an integer number (1191066240).

Almost surely, 299739900512 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 99739900512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171513538560).

99739900512 is an abundant number, since it is smaller than the sum of its proper divisors (243287176608).

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

99739900512 is a wasteful number, since it uses less digits than its factorization.

99739900512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13866 (or 13855 counting only the distinct ones).

The product of its (nonzero) digits is 1377810, while the sum is 54.

The spelling of 99739900512 in words is "ninety-nine billion, seven hundred thirty-nine million, nine hundred thousand, five hundred twelve".