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99620327952 = 2434373975233
BaseRepresentation
bin101110011000111010…
…1011001001000010000
3100112010201020000010000
41130301311121020100
53113010300443302
6113433121210000
710124453546625
oct1346165311020
9315121200100
1099620327952
1139281094952
1217382790900
139517c67922
144b7086c34c
1528d0c3e31c
hex1731d59210

99620327952 has 200 divisors, whose sum is σ = 296925469016. Its totient is φ = 32221753344.

The previous prime is 99620327951. The next prime is 99620327953. The reversal of 99620327952 is 25972302699.

99620327952 is a `hidden beast` number, since 9 + 9 + 620 + 3 + 2 + 7 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (99620327951) and next prime (99620327953).

It can be written as a sum of positive squares in 4 ways, for example, as 70796437776 + 28823890176 = 266076^2 + 169776^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (99620327951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19034328 + ... + 19039560.

Almost surely, 299620327952 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 99620327952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148462734508).

99620327952 is an abundant number, since it is smaller than the sum of its proper divisors (197305141064).

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

99620327952 is a wasteful number, since it uses less digits than its factorization.

99620327952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 99620327952 in words is "ninety-nine billion, six hundred twenty million, three hundred twenty-seven thousand, nine hundred fifty-two".