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99652472640 = 2635572959107
BaseRepresentation
bin101110011001111000…
…0000000111101000000
3100112012221201010100000
41130303300000331000
53113042013111030
6113440230200000
710125324020130
oct1346360007500
9315187633300
1099652472640
113929824a706
12173914b3000
139521810b56
144b74c38ac0
1528d398d860
hex1733c00f40

99652472640 has 1344 divisors, whose sum is σ = 431362713600. Its totient is φ = 21417467904.

The previous prime is 99652472629. The next prime is 99652472681. The reversal of 99652472640 is 4627425699.

99652472640 is a `hidden beast` number, since 9 + 9 + 6 + 524 + 72 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 931331467 + ... + 931331573.

It is an arithmetic number, because the mean of its divisors is an integer number (320954400).

Almost surely, 299652472640 is an apocalyptic number.

99652472640 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 99652472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215681356800).

99652472640 is an abundant number, since it is smaller than the sum of its proper divisors (331710240960).

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

99652472640 is a wasteful number, since it uses less digits than its factorization.

99652472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 99652472640 in words is "ninety-nine billion, six hundred fifty-two million, four hundred seventy-two thousand, six hundred forty".