Search a number
-
+
42533757972 = 22321181493277
BaseRepresentation
bin100111100111001101…
…011010010000010100
311001210020202210000100
4213213031122100110
51144102120223342
631312330014100
73034011656166
oct474715322024
9131706683010
1042533757972
11170472199a2
1282b0577330
13401aca1334
1420b6cc8936
15118e17ee4c
hex9e735a414

42533757972 has 18 divisors (see below), whose sum is σ = 107515888298. Its totient is φ = 14177919312.

The previous prime is 42533757949. The next prime is 42533758051. The reversal of 42533757972 is 27975733524.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 32596858116 + 9936899856 = 180546^2 + 99684^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 590746603 + ... + 590746674.

Almost surely, 242533757972 is an apocalyptic number.

It is an amenable number.

42533757972 is an abundant number, since it is smaller than the sum of its proper divisors (64982130326).

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

42533757972 is a wasteful number, since it uses less digits than its factorization.

42533757972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181493287 (or 1181493282 counting only the distinct ones).

The product of its digits is 11113200, while the sum is 54.

The spelling of 42533757972 in words is "forty-two billion, five hundred thirty-three million, seven hundred fifty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 1181493277 2362986554 3544479831 4725973108 7088959662 10633439493 14177919324 21266878986 42533757972