Search a number
-
+
99849140008800 = 2535272131930711197
BaseRepresentation
bin10110101100111111110000…
…100001010111011101100000
3111002112111002020121221021020
4112230333300201113131200
5101041412014320240200
6552210021153325440
730013601525315100
oct2654776041273540
9432474066557236
1099849140008800
11298a68675229a6
12b247522b66880
13439396c66a970
141a92a1d15b200
15b8248a467ea0
hex5acff0857760

99849140008800 has 1728 divisors, whose sum is σ = 430017669607680. Its totient is φ = 19891490734080.

The previous prime is 99849140008789. The next prime is 99849140008837. The reversal of 99849140008800 is 880004194899.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8917484802 + ... + 8917495998.

It is an arithmetic number, because the mean of its divisors is an integer number (248852818060).

Almost surely, 299849140008800 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 99849140008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215008834803840).

99849140008800 is an abundant number, since it is smaller than the sum of its proper divisors (330168529598880).

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

99849140008800 is a wasteful number, since it uses less digits than its factorization.

99849140008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11573 (or 11553 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 60.

The spelling of 99849140008800 in words is "ninety-nine trillion, eight hundred forty-nine billion, one hundred forty million, eight thousand, eight hundred".