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13793848992 = 2534711261103
BaseRepresentation
bin11001101100010110…
…10110111010100000
31022121022120010120000
430312023112322200
5211222211131432
610200430020000
7665552532120
oct146613267240
938538503500
1013793848992
1159392a4a00
12280b647600
1313ba9acc31
1494bd72c80
1555aeb157c
hex3362d6ea0

13793848992 has 720 divisors, whose sum is σ = 52298902656. Its totient is φ = 3489868800.

The previous prime is 13793848979. The next prime is 13793849021. The reversal of 13793848992 is 29984839731.

13793848992 is a `hidden beast` number, since 1 + 37 + 9 + 38 + 489 + 92 = 666.

13793848992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 133920813 + ... + 133920915.

Almost surely, 213793848992 is an apocalyptic number.

13793848992 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 13793848992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26149451328).

13793848992 is an abundant number, since it is smaller than the sum of its proper divisors (38505053664).

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

13793848992 is a wasteful number, since it uses less digits than its factorization.

13793848992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 187 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 13793848992 in words is "thirteen billion, seven hundred ninety-three million, eight hundred forty-eight thousand, nine hundred ninety-two".