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13791098496 = 273717241433
BaseRepresentation
bin11001101100000001…
…10111011010000000
31022121010101101120210
430312000313122000
5211221010122441
610200251034120
7665520255150
oct146600673200
938533341523
1013791098496
11593779646a
12280a73b940
1313ba259016
1494b858760
1555ab1b616
hex336037680

13791098496 has 384 divisors, whose sum is σ = 45663327360. Its totient is φ = 3609722880.

The previous prime is 13791098483. The next prime is 13791098527. The reversal of 13791098496 is 69489019731.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31849896 + ... + 31850328.

It is an arithmetic number, because the mean of its divisors is an integer number (118914915).

Almost surely, 213791098496 is an apocalyptic number.

13791098496 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 13791098496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22831663680).

13791098496 is an abundant number, since it is smaller than the sum of its proper divisors (31872228864).

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

13791098496 is a wasteful number, since it uses less digits than its factorization.

13791098496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The spelling of 13791098496 in words is "thirteen billion, seven hundred ninety-one million, ninety-eight thousand, four hundred ninety-six".