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99629937792 = 2735711172447
BaseRepresentation
bin101110011001001101…
…0000011010010000000
3100112011101022020100000
41130302122003102000
53113020231002132
6113434103200000
710124631332640
oct1346232032200
9315141266300
1099629937792
1139286558970
1217385a46000
139519c50a18
144b71c50520
1528d19db87c
hex1732683480

99629937792 has 768 divisors, whose sum is σ = 392641966080. Its totient is φ = 24345722880.

The previous prime is 99629937761. The next prime is 99629937793. The reversal of 99629937792 is 29773992699.

It is a happy number.

It is a super-2 number, since 2×996299377922 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 99629937792.

It is not an unprimeable number, because it can be changed into a prime (99629937793) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40713913 + ... + 40716359.

It is an arithmetic number, because the mean of its divisors is an integer number (511252560).

Almost surely, 299629937792 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 99629937792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196320983040).

99629937792 is an abundant number, since it is smaller than the sum of its proper divisors (293012028288).

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

99629937792 is a wasteful number, since it uses less digits than its factorization.

99629937792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2487 counting only the distinct ones).

The product of its digits is 208324872, while the sum is 72.

The spelling of 99629937792 in words is "ninety-nine billion, six hundred twenty-nine million, nine hundred thirty-seven thousand, seven hundred ninety-two".