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99136499616 = 25337112367967
BaseRepresentation
bin101110001010011111…
…1101110111110100000
3100110212222210222102000
41130110333232332200
53111012420441431
6113313115124000
710106460225450
oct1342477567640
9313788728360
1099136499616
1139052a73520
1217268743600
13946b95557b
144b264c5d60
1528a351c9e6
hex1714feefa0

99136499616 has 768 divisors, whose sum is σ = 382179409920. Its totient is φ = 24237480960.

The previous prime is 99136499603. The next prime is 99136499621. The reversal of 99136499616 is 61699463199.

99136499616 is a `hidden beast` number, since 9 + 9 + 1 + 3 + 6 + 4 + 9 + 9 + 616 = 666.

It is a super-2 number, since 2×991364996162 (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 102519165 + ... + 102520131.

It is an arithmetic number, because the mean of its divisors is an integer number (497629440).

Almost surely, 299136499616 is an apocalyptic number.

99136499616 is a gapful number since it is divisible by the number (96) 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 99136499616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191089704960).

99136499616 is an abundant number, since it is smaller than the sum of its proper divisors (283042910304).

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

99136499616 is a wasteful number, since it uses less digits than its factorization.

99136499616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1080 counting only the distinct ones).

The product of its digits is 17006112, while the sum is 63.

The spelling of 99136499616 in words is "ninety-nine billion, one hundred thirty-six million, four hundred ninety-nine thousand, six hundred sixteen".