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1135796713920 = 2633511671071667
BaseRepresentation
bin10000100001110010110…
…000100111100111000000
311000120200121220020201000
4100201302300213213000
5122102102424321140
62225440001212000
7145026046526661
oct20416260474700
94016617806630
101135796713920
113a87636a8a90
12164160031000
138314a0a11bb
143cd89725368
151e828459a30
hex10872c279c0

1135796713920 has 896 divisors, whose sum is σ = 4480483921920. Its totient is φ = 268538941440.

The previous prime is 1135796713901. The next prime is 1135796713927. The reversal of 1135796713920 is 293176975311.

1135796713920 is a `hidden beast` number, since 1 + 1 + 3 + 579 + 67 + 1 + 3 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135796713927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 681340927 + ... + 681342593.

Almost surely, 21135796713920 is an apocalyptic number.

1135796713920 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 1135796713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240241960960).

1135796713920 is an abundant number, since it is smaller than the sum of its proper divisors (3344687208000).

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

1135796713920 is a wasteful number, since it uses less digits than its factorization.

1135796713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 1135796713920 in words is "one trillion, one hundred thirty-five billion, seven hundred ninety-six million, seven hundred thirteen thousand, nine hundred twenty".