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99320739840 = 2113357193773
BaseRepresentation
bin101110001111111111…
…0100011100000000000
3100111100211111100111000
41130133332203200000
53111402102133330
6113343300052000
710114155234120
oct1343776434000
9314324440430
1099320739840
1139137a71973
12172ba394000
13949ab8245a
144b42b64c80
1528b47b2560
hex171ffa3800

99320739840 has 1536 divisors, whose sum is σ = 442181376000. Its totient is φ = 20639121408.

The previous prime is 99320739797. The next prime is 99320739853. The reversal of 99320739840 is 4893702399.

99320739840 is a `hidden beast` number, since 9 + 9 + 3 + 207 + 398 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 1360558044 + ... + 1360558116.

It is an arithmetic number, because the mean of its divisors is an integer number (287878500).

Almost surely, 299320739840 is an apocalyptic number.

99320739840 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 99320739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221090688000).

99320739840 is an abundant number, since it is smaller than the sum of its proper divisors (342860636160).

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

99320739840 is a wasteful number, since it uses less digits than its factorization.

99320739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

It can be divided in two parts, 99320 and 739840, that added together give a triangular number (839160 = T1295).

The spelling of 99320739840 in words is "ninety-nine billion, three hundred twenty million, seven hundred thirty-nine thousand, eight hundred forty".