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23082854040 = 23335374173193
BaseRepresentation
bin10101011111110110…
…000110011010011000
32012120200110110222000
4111133312012122120
5334233202312130
614334253401000
71445005010361
oct253766063230
965520413860
1023082854040
11987573a984
124582499160
13223b2ab61c
14118d8d8b68
15901729260
hex55fd86698

23082854040 has 512 divisors, whose sum is σ = 82483833600. Its totient is φ = 5733089280.

The previous prime is 23082854029. The next prime is 23082854063. The reversal of 23082854040 is 4045828032.

23082854040 is a `hidden beast` number, since 2 + 30 + 82 + 8 + 540 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23082853986 and 23082854004.

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 127 ways as a sum of consecutive naturals, for example, 119600184 + ... + 119600376.

Almost surely, 223082854040 is an apocalyptic number.

23082854040 is a gapful number since it is divisible by the number (20) 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 23082854040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41241916800).

23082854040 is an abundant number, since it is smaller than the sum of its proper divisors (59400979560).

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

23082854040 is a wasteful number, since it uses less digits than its factorization.

23082854040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

It can be divided in two parts, 2308285 and 4040, that added together give a triangular number (2312325 = T2150).

The spelling of 23082854040 in words is "twenty-three billion, eighty-two million, eight hundred fifty-four thousand, forty".