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11643899904 = 21233713289
BaseRepresentation
bin10101101100000011…
…11101000000000000
31010001111001101212000
422312001331000000
5142321314244104
65203225104000
7561355342020
oct126601750000
933044041760
1011643899904
114a3575037a
12230b628000
131137453c00
147c6603a80
1548237e639
hex2b607d000

11643899904 has 624 divisors, whose sum is σ = 43169846400. Its totient is φ = 3036413952.

The previous prime is 11643899873. The next prime is 11643899909. The reversal of 11643899904 is 40999834611.

It is a happy number.

11643899904 is a `hidden beast` number, since 116 + 438 + 9 + 9 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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 (11643899909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130830292 + ... + 130830380.

Almost surely, 211643899904 is an apocalyptic number.

11643899904 is a gapful number since it is divisible by the number (14) 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 11643899904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21584923200).

11643899904 is an abundant number, since it is smaller than the sum of its proper divisors (31525946496).

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

11643899904 is an equidigital number, since it uses as much as digits as its factorization.

11643899904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 11643899904 in words is "eleven billion, six hundred forty-three million, eight hundred ninety-nine thousand, nine hundred four".