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99106655760 = 2435571742841
BaseRepresentation
bin101110001001100110…
…1111000111000010000
3100110210220122202100000
41130103031320320100
53110432300441020
6113310131330000
710105645450230
oct1342315707020
9313726582300
1099106655760
113903813a382
121725a750900
139465706698
144b22557cc0
1528a0ac5090
hex1713378e10

99106655760 has 480 divisors, whose sum is σ = 417682766592. Its totient is φ = 21319925760.

The previous prime is 99106655741. The next prime is 99106655783. The reversal of 99106655760 is 6755660199.

99106655760 is a `hidden beast` number, since 9 + 9 + 1 + 0 + 6 + 65 + 576 + 0 = 666.

It is a super-2 number, since 2×991066557602 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 99106655697 and 99106655706.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2291940 + ... + 2334780.

Almost surely, 299106655760 is an apocalyptic number.

99106655760 is a gapful number since it is divisible by the number (90) 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 99106655760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208841383296).

99106655760 is an abundant number, since it is smaller than the sum of its proper divisors (318576110832).

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

99106655760 is a wasteful number, since it uses less digits than its factorization.

99106655760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42893 (or 42875 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 99106655760 in words is "ninety-nine billion, one hundred six million, six hundred fifty-five thousand, seven hundred sixty".