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99739632104 = 23724347125897
BaseRepresentation
bin101110011100011110…
…0100000000111101000
3100112110000201021122022
41130320330200013220
53113231321211404
6113453022244012
710130432612300
oct1347074400750
9315400637568
1099739632104
1139332470922
12173b6726608
1395368a9bb8
144b82646600
1528db4588be
hex1738f201e8

99739632104 has 96 divisors (see below), whose sum is σ = 227341572480. Its totient is φ = 40862820096.

The previous prime is 99739632067. The next prime is 99739632107. The reversal of 99739632104 is 40123693799.

It is a happy number.

It is a cake number, because a cake can be divided into 99739632104 parts by 8427 planar cuts.

It is not an unprimeable number, because it can be changed into a prime (99739632107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729284 + ... + 855180.

It is an arithmetic number, because the mean of its divisors is an integer number (2368141380).

Almost surely, 299739632104 is an apocalyptic number.

99739632104 is a gapful number since it is divisible by the number (94) 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 99739632104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113670786240).

99739632104 is an abundant number, since it is smaller than the sum of its proper divisors (127601940376).

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

99739632104 is a wasteful number, since it uses less digits than its factorization.

99739632104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126007 (or 125996 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 53.

The spelling of 99739632104 in words is "ninety-nine billion, seven hundred thirty-nine million, six hundred thirty-two thousand, one hundred four".