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99334962480 = 2435131947101353
BaseRepresentation
bin101110010000011010…
…0110011110100110000
3100111101211020221021110
41130200310303310300
53111414222244410
6113344524553320
710114420151415
oct1344064636460
9314354227243
1099334962480
1139144aa6616
12173030b2840
1394a0ac2010
144b449c810c
1528b5b71720
hex1720d33d30

99334962480 has 640 divisors, whose sum is σ = 361056890880. Its totient is φ = 22383820800.

The previous prime is 99334962473. The next prime is 99334962487. The reversal of 99334962480 is 8426943399.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99334962473) and next prime (99334962487).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 99334962480.

It is not an unprimeable number, because it can be changed into a prime (99334962487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 281401984 + ... + 281402336.

It is an arithmetic number, because the mean of its divisors is an integer number (564151392).

Almost surely, 299334962480 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 99334962480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180528445440).

99334962480 is an abundant number, since it is smaller than the sum of its proper divisors (261721928400).

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

99334962480 is a wasteful number, since it uses less digits than its factorization.

99334962480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 99334962480 in words is "ninety-nine billion, three hundred thirty-four million, nine hundred sixty-two thousand, four hundred eighty".