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99685527480 = 23325731179929
BaseRepresentation
bin101110011010110111…
…0000110111110111000
3100112022020220111001100
41130311232012332320
53113123443334410
6113443410451400
710126205001000
oct1346556067670
9315266814040
1099685527480
1139304977260
12173a0593b60
139528615426
144b793a1000
1528d681c8c0
hex1735b86fb8

99685527480 has 768 divisors, whose sum is σ = 417830400000. Its totient is φ = 20429660160.

The previous prime is 99685527437. The next prime is 99685527481. The reversal of 99685527480 is 8472558699.

99685527480 is a `hidden beast` number, since 9 + 9 + 6 + 8 + 552 + 74 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99685527481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107303656 + ... + 107304584.

It is an arithmetic number, because the mean of its divisors is an integer number (544050000).

Almost surely, 299685527480 is an apocalyptic number.

99685527480 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 99685527480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200000).

99685527480 is an abundant number, since it is smaller than the sum of its proper divisors (318144872520).

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

99685527480 is a wasteful number, since it uses less digits than its factorization.

99685527480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 99685527480 in words is "ninety-nine billion, six hundred eighty-five million, five hundred twenty-seven thousand, four hundred eighty".