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99482722560 = 283651359139
BaseRepresentation
bin101110010100110100…
…0011110000100000000
3100111210010021221000000
41130221220132010000
53112220034110220
6113411324000000
710121163122004
oct1345150360400
9314703257000
1099482722560
1139210448991
1217344690000
1394c55b8510
144b5a48c704
1528c3b0c390
hex1729a1e100

99482722560 has 1008 divisors, whose sum is σ = 394093828800. Its totient is φ = 23899815936.

The previous prime is 99482722543. The next prime is 99482722579. The reversal of 99482722560 is 6522728499.

99482722560 is a `hidden beast` number, since 9 + 9 + 4 + 8 + 2 + 72 + 2 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 99482722497 and 99482722506.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 715702971 + ... + 715703109.

It is an arithmetic number, because the mean of its divisors is an integer number (390966100).

Almost surely, 299482722560 is an apocalyptic number.

99482722560 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 99482722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197046914400).

99482722560 is an abundant number, since it is smaller than the sum of its proper divisors (294611106240).

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

99482722560 is a wasteful number, since it uses less digits than its factorization.

99482722560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 99482722560 in words is "ninety-nine billion, four hundred eighty-two million, seven hundred twenty-two thousand, five hundred sixty".