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99948637152 = 25357131371031
BaseRepresentation
bin101110100010101100…
…1110010101111100000
3100112222120222211200000
41131011121302233200
53114143322342102
6113525450100000
710135551253410
oct1350531625740
9315876884600
1099948637152
113942a444471
121745471a600
13956ac97c20
144ba22d0640
1528ee99101c
hex1745672be0

99948637152 has 576 divisors, whose sum is σ = 365778975744. Its totient is φ = 26142289920.

The previous prime is 99948637133. The next prime is 99948637169. The reversal of 99948637152 is 25173684999.

It is a super-2 number, since 2×999486371522 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 99948637152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96942877 + ... + 96943907.

It is an arithmetic number, because the mean of its divisors is an integer number (635032944).

Almost surely, 299948637152 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 99948637152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182889487872).

99948637152 is an abundant number, since it is smaller than the sum of its proper divisors (265830338592).

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

99948637152 is a wasteful number, since it uses less digits than its factorization.

99948637152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1193 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 99948637152 in words is "ninety-nine billion, nine hundred forty-eight million, six hundred thirty-seven thousand, one hundred fifty-two".