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99925970760 = 233457111723561
BaseRepresentation
bin101110100010000001…
…1010100111101001000
3100112221000100021020000
41131010003110331020
53114122022031020
6113523320203000
710135154510550
oct1350403247510
9315830307200
1099925970760
1139418672910
1217449009460
13956638cc65
144b9d2b0160
1528ec9b5090
hex17440d4f48

99925970760 has 640 divisors, whose sum is σ = 443387831040. Its totient is φ = 19541606400.

The previous prime is 99925970719. The next prime is 99925970783. The reversal of 99925970760 is 6707952999.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4229380 + ... + 4252940.

It is an arithmetic number, because the mean of its divisors is an integer number (692793486).

Almost surely, 299925970760 is an apocalyptic number.

99925970760 is a gapful number since it is divisible by the number (90) 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 99925970760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221693915520).

99925970760 is an abundant number, since it is smaller than the sum of its proper divisors (343461860280).

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

99925970760 is a wasteful number, since it uses less digits than its factorization.

99925970760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23619 (or 23606 counting only the distinct ones).

The product of its (nonzero) digits is 19289340, while the sum is 63.

The spelling of 99925970760 in words is "ninety-nine billion, nine hundred twenty-five million, nine hundred seventy thousand, seven hundred sixty".