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13133929667040 = 2535572132192113
BaseRepresentation
bin1011111100011111101100…
…1101100101100111100000
31201111120222010210112200000
42333013323031211213200
53210141241443321130
643533351034100000
72523616010111100
oct277077315454740
951446863715600
1013133929667040
114204082994936
12158153a57a600
137436a7a27400
14335985377200
1517b99c4cb260
hexbf1fb3659e0

13133929667040 has 3888 divisors, whose sum is σ = 62337438949968. Its totient is φ = 2602034233344.

The previous prime is 13133929667029. The next prime is 13133929667041. The reversal of 13133929667040 is 4076692933131.

13133929667040 is a `hidden beast` number, since 1 + 313 + 39 + 296 + 6 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

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 (13133929667041) by changing a digit.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 116229466024 + ... + 116229466136.

It is an arithmetic number, because the mean of its divisors is an integer number (16033291911).

Almost surely, 213133929667040 is an apocalyptic number.

13133929667040 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 13133929667040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31168719474984).

13133929667040 is an abundant number, since it is smaller than the sum of its proper divisors (49203509282928).

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

13133929667040 is a wasteful number, since it uses less digits than its factorization.

13133929667040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 13133929667040 in words is "thirteen trillion, one hundred thirty-three billion, nine hundred twenty-nine million, six hundred sixty-seven thousand, forty".