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1114600660992 = 213327132331233
BaseRepresentation
bin10000001110000011011…
…000000110000000000000
310221112222102210012021200
4100032003120012000000
5121230200232122432
62212012424221200
7143345562204210
oct20160330060000
93845872705250
101114600660992
1139a777019775
1216002560a800
138114c984850
143bd3865a240
151ded76d2a7c
hex10383606000

1114600660992 has 1344 divisors, whose sum is σ = 4286786789376. Its totient is φ = 270941552640.

The previous prime is 1114600660991. The next prime is 1114600661011. The reversal of 1114600660992 is 2990660064111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114600660991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4783693708 + ... + 4783693940.

It is an arithmetic number, because the mean of its divisors is an integer number (3189573504).

Almost surely, 21114600660992 is an apocalyptic number.

1114600660992 is a gapful number since it is divisible by the number (12) 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 1114600660992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143393394688).

1114600660992 is an abundant number, since it is smaller than the sum of its proper divisors (3172186128384).

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

1114600660992 is a wasteful number, since it uses less digits than its factorization.

1114600660992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1114600660992 in words is "one trillion, one hundred fourteen billion, six hundred million, six hundred sixty thousand, nine hundred ninety-two".