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11914175443968 = 2103673193179
BaseRepresentation
bin1010110101011111110000…
…1100011111010000000000
31120011222120101000221000000
42231113330030133100000
53030200212403201333
641201144024000000
72336525242224000
oct255277414372000
946158511027000
1011914175443968
113883856488656
121405069300000
1368566a959215
142d2913464000
15159dad422713
hexad5fc31f400

11914175443968 has 2464 divisors, whose sum is σ = 45821358080000. Its totient is φ = 3081356328960.

The previous prime is 11914175443901. The next prime is 11914175443997. The reversal of 11914175443968 is 86934457141911.

It is a happy number.

11914175443968 is a `hidden beast` number, since 1 + 1 + 9 + 14 + 17 + 544 + 3 + 9 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 150812347353 + ... + 150812347431.

Almost surely, 211914175443968 is an apocalyptic number.

11914175443968 is a gapful number since it is divisible by the number (18) 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 11914175443968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22910679040000).

11914175443968 is an abundant number, since it is smaller than the sum of its proper divisors (33907182636032).

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

11914175443968 is an frugal number, since it uses more digits than its factorization.

11914175443968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 141 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 11914175443968 in words is "eleven trillion, nine hundred fourteen billion, one hundred seventy-five million, four hundred forty-three thousand, nine hundred sixty-eight".