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12364080197040 = 243251113177063897
BaseRepresentation
bin1011001111101011110010…
…0110111010110110110000
31121202222212000012102101200
42303322330212322312300
53110033114012301130
642143551404131200
72414163301432635
oct263727446726660
947688760172350
1012364080197040
113a37638a38630
1214782a9536b00
136b8c0a399040
1430a5d344218c
15166941149760
hexb3ebc9badb0

12364080197040 has 480 divisors, whose sum is σ = 51651448220736. Its totient is φ = 2604034621440.

The previous prime is 12364080197039. The next prime is 12364080197059. The reversal of 12364080197040 is 4079108046321.

12364080197040 is a `hidden beast` number, since 1 + 236 + 408 + 0 + 1 + 9 + 7 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1781629 + ... + 5282268.

Almost surely, 212364080197040 is an apocalyptic number.

12364080197040 is a gapful number since it is divisible by the number (10) 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 12364080197040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25825724110368).

12364080197040 is an abundant number, since it is smaller than the sum of its proper divisors (39287368023696).

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

12364080197040 is a wasteful number, since it uses less digits than its factorization.

12364080197040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7063957 (or 7063948 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12364080197040 in words is "twelve trillion, three hundred sixty-four billion, eighty million, one hundred ninety-seven thousand, forty".