Search a number
-
+
27423240700 = 2252678945989
BaseRepresentation
bin11001100010100011…
…010111000111111100
32121210011122222010111
4121202203113013330
5422130322200300
620333103115404
71660400462032
oct314243270774
977704588114
1027423240700
11106a2782699
125393ba2b64
13278059b65b
141482136552
15aa77d99ba
hex6628d71fc

27423240700 has 72 divisors (see below), whose sum is σ = 61076559600. Its totient is φ = 10683932160.

The previous prime is 27423240673. The next prime is 27423240701. The reversal of 27423240700 is 704232472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27423240701) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 573306 + ... + 619294.

It is an arithmetic number, because the mean of its divisors is an integer number (848285550).

Almost surely, 227423240700 is an apocalyptic number.

27423240700 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 27423240700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30538279800).

27423240700 is an abundant number, since it is smaller than the sum of its proper divisors (33653318900).

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

27423240700 is a wasteful number, since it uses less digits than its factorization.

27423240700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46159 (or 46152 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 31.

The spelling of 27423240700 in words is "twenty-seven billion, four hundred twenty-three million, two hundred forty thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 67 89 100 134 178 268 335 356 445 670 890 1340 1675 1780 2225 3350 4450 5963 6700 8900 11926 23852 29815 45989 59630 91978 119260 149075 183956 229945 298150 459890 596300 919780 1149725 2299450 3081263 4093021 4598900 6162526 8186042 12325052 15406315 16372084 20465105 30812630 40930210 61625260 77031575 81860420 102325525 154063150 204651050 274232407 308126300 409302100 548464814 1096929628 1371162035 2742324070 5484648140 6855810175 13711620350 27423240700