Search a number
-
+
13099836672 = 283313197673
BaseRepresentation
bin11000011001100111…
…11010010100000000
31020210221122122122000
430030303322110000
5203312024233142
610003514544000
7642424526436
oct141463722400
936727578560
1013099836672
1156125751aa
122657138000
131309c89060
148c3b16d56
1551a0c314c
hex30ccfa500

13099836672 has 288 divisors, whose sum is σ = 43919836800. Its totient is φ = 3818078208.

The previous prime is 13099836667. The next prime is 13099836677. The reversal of 13099836672 is 27663899031.

It is an interprime number because it is at equal distance from previous prime (13099836667) and next prime (13099836677).

It is a tau number, because it is divible by the number of its divisors (288).

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 (13099836677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703428 + ... + 1711100.

Almost surely, 213099836672 is an apocalyptic number.

13099836672 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 13099836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21959918400).

13099836672 is an abundant number, since it is smaller than the sum of its proper divisors (30820000128).

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

13099836672 is a wasteful number, since it uses less digits than its factorization.

13099836672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7730 (or 7710 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 13099836672 in words is "thirteen billion, ninety-nine million, eight hundred thirty-six thousand, six hundred seventy-two".