Search a number
-
+
109682384640 = 2835314671973
BaseRepresentation
bin110011000100110010…
…1000101111100000000
3101111002221202110000020
41212021211011330000
53244112142302030
6122215402053440
710632013613103
oct1461145057400
9344087673006
10109682384640
1142574934a84
12193104aa280
13a45c77221a
145446d4673a
152cbe2a9510
hex1989945f00

109682384640 has 288 divisors, whose sum is σ = 362556020736. Its totient is φ = 28230205440.

The previous prime is 109682384627. The next prime is 109682384687. The reversal of 109682384640 is 46483286901.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55590694 + ... + 55592666.

It is an arithmetic number, because the mean of its divisors is an integer number (1258875072).

Almost surely, 2109682384640 is an apocalyptic number.

109682384640 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 109682384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181278010368).

109682384640 is an abundant number, since it is smaller than the sum of its proper divisors (252873636096).

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

109682384640 is a wasteful number, since it uses less digits than its factorization.

109682384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 109682384640 in words is "one hundred nine billion, six hundred eighty-two million, three hundred eighty-four thousand, six hundred forty".