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99122430685824 = 27337132191276027
BaseRepresentation
bin10110100010011010111101…
…010001010011001010000000
3110222222000022121211100102000
4112202122331101103022000
5100443010214223421244
6550452114354424000
726610234144065220
oct2642327521231200
9428860277740360
1099122430685824
1129646650007667
12b14a711592000
134340288805600
141a697a087c080
15b6d6065e7169
hex5a26bd453280

99122430685824 has 768 divisors, whose sum is σ = 381093418368000. Its totient is φ = 24766255927296.

The previous prime is 99122430685813. The next prime is 99122430685897. The reversal of 99122430685824 is 42858603422199.

99122430685824 is a `hidden beast` number, since 9 + 9 + 1 + 2 + 2 + 43 + 0 + 6 + 8 + 582 + 4 = 666.

It is a super-3 number, since 3×991224306858243 (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77042499 + ... + 78318525.

It is an arithmetic number, because the mean of its divisors is an integer number (496215388500).

Almost surely, 299122430685824 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 99122430685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190546709184000).

99122430685824 is an abundant number, since it is smaller than the sum of its proper divisors (281970987682176).

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

99122430685824 is a wasteful number, since it uses less digits than its factorization.

99122430685824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276102 (or 1276071 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 99122430685824 in words is "ninety-nine trillion, one hundred twenty-two billion, four hundred thirty million, six hundred eighty-five thousand, eight hundred twenty-four".