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13314851172 = 22337233269281
BaseRepresentation
bin11000110011010000…
…01000000101100100
31021100221020112002000
430121220020011210
5204232100214142
610041115245300
7650645240040
oct143150100544
937327215060
1013314851172
115712982837
1226b7149830
13134269c47c
149044c7020
1552dde614c
hex319a08164

13314851172 has 192 divisors, whose sum is σ = 39909542400. Its totient is φ = 3760404480.

The previous prime is 13314851161. The next prime is 13314851177. The reversal of 13314851172 is 27115841331.

13314851172 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 485 + 1 + 172 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13314851177) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47383672 + ... + 47383952.

It is an arithmetic number, because the mean of its divisors is an integer number (207862200).

Almost surely, 213314851172 is an apocalyptic number.

13314851172 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 13314851172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19954771200).

13314851172 is an abundant number, since it is smaller than the sum of its proper divisors (26594691228).

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

13314851172 is a wasteful number, since it uses less digits than its factorization.

13314851172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The spelling of 13314851172 in words is "thirteen billion, three hundred fourteen million, eight hundred fifty-one thousand, one hundred seventy-two".