Search a number
-
+
104881167072 = 253211172967153
BaseRepresentation
bin110000110101101100…
…1111001101011100000
3101000201100102022200100
41201223121321223200
53204244034321242
6120103131222400
710402024132203
oct1415331715340
9330640368610
10104881167072
1140530759180
12183b05a7a00
139b75b62696
14510d42b93a
152adca1b54c
hex186b679ae0

104881167072 has 288 divisors, whose sum is σ = 356394336480. Its totient is φ = 28880732160.

The previous prime is 104881167049. The next prime is 104881167119. The reversal of 104881167072 is 270761188401.

104881167072 is a `hidden beast` number, since 1 + 0 + 488 + 1 + 167 + 0 + 7 + 2 = 666.

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

It is a super-2 number, since 2×1048811670722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1528248 + ... + 1595400.

It is an arithmetic number, because the mean of its divisors is an integer number (1237480335).

Almost surely, 2104881167072 is an apocalyptic number.

104881167072 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 104881167072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178197168240).

104881167072 is an abundant number, since it is smaller than the sum of its proper divisors (251513169408).

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

104881167072 is a wasteful number, since it uses less digits than its factorization.

104881167072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67226 (or 67215 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

It can be divided in two parts, 104881 and 167072, that added together give a triangular number (271953 = T737).

The spelling of 104881167072 in words is "one hundred four billion, eight hundred eighty-one million, one hundred sixty-seven thousand, seventy-two".