Search a number
-
+
23012982243360 = 2533529253172577
BaseRepresentation
bin1010011101110001000001…
…01000011100000000100000
310000111000112022010002001000
411032320200220130000200
511004021041423241420
6120540003524112000
74563430103360004
oct516704050340040
9100430468102030
1023012982243360
11737282959035a
1226b80a1235600
13cac165609335
14597b973ba704
1529d9491c0690
hex14ee20a1c020

23012982243360 has 384 divisors, whose sum is σ = 83356936185600. Its totient is φ = 5922758983680.

The previous prime is 23012982243341. The next prime is 23012982243437. The reversal of 23012982243360 is 6334228921032.

23012982243360 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 2 + 98 + 224 + 336 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317047392 + ... + 317119968.

It is an arithmetic number, because the mean of its divisors is an integer number (217075354650).

Almost surely, 223012982243360 is an apocalyptic number.

23012982243360 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 23012982243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41678468092800).

23012982243360 is an abundant number, since it is smaller than the sum of its proper divisors (60343953942240).

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

23012982243360 is a wasteful number, since it uses less digits than its factorization.

23012982243360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75161 (or 75147 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 23012982243360 in words is "twenty-three trillion, twelve billion, nine hundred eighty-two million, two hundred forty-three thousand, three hundred sixty".