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99115437456 = 24347311971789
BaseRepresentation
bin101110001001110111…
…1011000110110010000
3100110211112011220120000
41130103233120312100
53110442022444311
6113311043450000
710106113213650
oct1342357306620
9313745156500
1099115437456
1139042098182
1217261686900
13946748c859
144b237a2360
1528a175c056
hex1713bd8d90

99115437456 has 400 divisors, whose sum is σ = 340333931520. Its totient is φ = 27250836480.

The previous prime is 99115437427. The next prime is 99115437493. The reversal of 99115437456 is 65473451199.

99115437456 is a `hidden beast` number, since 9 + 9 + 1 + 154 + 37 + 456 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55401810 + ... + 55403598.

Almost surely, 299115437456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99115437456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170166965760).

99115437456 is an abundant number, since it is smaller than the sum of its proper divisors (241218494064).

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

99115437456 is a wasteful number, since it uses less digits than its factorization.

99115437456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2029 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 99115437456 in words is "ninety-nine billion, one hundred fifteen million, four hundred thirty-seven thousand, four hundred fifty-six".