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1132799181696 = 27337138343397
BaseRepresentation
bin10000011111000000000…
…101111100001110000000
311000021221201111211112000
4100133000011330032000
5122024433042303241
62224222321504000
7144561551112660
oct20370005741600
94007851454460
101132799181696
113a7465673726
121636641a2000
1382a90071cb0
143cb835a21a0
151e700201eb6
hex107c017c380

1132799181696 has 512 divisors, whose sum is σ = 4164541516800. Its totient is φ = 295153901568.

The previous prime is 1132799181637. The next prime is 1132799181719. The reversal of 1132799181696 is 6961819972311.

1132799181696 is a `hidden beast` number, since 113 + 279 + 91 + 8 + 169 + 6 = 666.

It is a super-2 number, since 2×11327991816962 (a number of 25 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26081470 + ... + 26124866.

It is an arithmetic number, because the mean of its divisors is an integer number (8133870150).

Almost surely, 21132799181696 is an apocalyptic number.

1132799181696 is a gapful number since it is divisible by the number (16) 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 1132799181696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082270758400).

1132799181696 is an abundant number, since it is smaller than the sum of its proper divisors (3031742335104).

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

1132799181696 is a wasteful number, since it uses less digits than its factorization.

1132799181696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43523 (or 43505 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 63.

The spelling of 1132799181696 in words is "one trillion, one hundred thirty-two billion, seven hundred ninety-nine million, one hundred eighty-one thousand, six hundred ninety-six".