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99957923640 = 2335523447119
BaseRepresentation
bin101110100010111110…
…1001101111100111000
3100120000020110122100000
41131011331031330320
53114203212024030
6113530421113000
710136023221621
oct1350575157470
9316006418300
1099957923640
1139434707553
1217457858760
13956cb99aa3
144ba362aa48
1529006c7860
hex1745f4df38

99957923640 has 192 divisors, whose sum is σ = 351543628800. Its totient is φ = 25496456832.

The previous prime is 99957923633. The next prime is 99957923687. The reversal of 99957923640 is 4632975999.

99957923640 is a nontrivial binomial coefficient, being equal to C(447120, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1 + ... + 447119.

It is an arithmetic number, because the mean of its divisors is an integer number (1830956400).

Almost surely, 299957923640 is an apocalyptic number.

99957923640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99957923640 is the 447119-th triangular number and also the 223560-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99957923640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175771814400).

99957923640 is an abundant number, since it is smaller than the sum of its proper divisors (251585705160).

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

99957923640 is a wasteful number, since it uses less digits than its factorization.

99957923640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447168 (or 447152 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 99957923640 in words is "ninety-nine billion, nine hundred fifty-seven million, nine hundred twenty-three thousand, six hundred forty".