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108611963964 = 22347193177951
BaseRepresentation
bin110010100100111000…
…1110000110000111100
3101101100100120102220000
41211021301300300330
53234414130321324
6121521243154300
710563335314110
oct1451161606074
9341310512800
10108611963964
1142075693099
1219071b15990
13a31ba79bca
145384b07740
152c5a3179c9
hex1949c70c3c

108611963964 has 240 divisors, whose sum is σ = 342694302720. Its totient is φ = 29302300800.

The previous prime is 108611963959. The next prime is 108611963989. The reversal of 108611963964 is 469369116801.

It is a happy number.

108611963964 is a `hidden beast` number, since 1 + 0 + 8 + 61 + 196 + 396 + 4 = 666.

It is a super-2 number, since 2×1086119639642 (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 self number, because there is not a number n which added to its sum of digits gives 108611963964.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 13656189 + ... + 13664139.

It is an arithmetic number, because the mean of its divisors is an integer number (1427892928).

Almost surely, 2108611963964 is an apocalyptic number.

108611963964 is a gapful number since it is divisible by the number (14) 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 108611963964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171347151360).

108611963964 is an abundant number, since it is smaller than the sum of its proper divisors (234082338756).

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

108611963964 is a wasteful number, since it uses less digits than its factorization.

108611963964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 108611963964 in words is "one hundred eight billion, six hundred eleven million, nine hundred sixty-three thousand, nine hundred sixty-four".