Search a number
-
+
72406621831037 = 1332291724911781
BaseRepresentation
bin10000011101101001111010…
…111110010011111101111101
3100111101000010222011212020212
4100131221322332103331331
533442302230142043122
6413555050505322205
721152130405463004
oct2035517276237575
9314330128155225
1072406621831037
1121086526428a3a
128154a7b196365
133152bb8745710
1413c46dbb13c3b
158586e08d5ce2
hex41da7af93f7d

72406621831037 has 8 divisors (see below), whose sum is σ = 78000510782040. Its totient is φ = 66816182710080.

The previous prime is 72406621831001. The next prime is 72406621831091. The reversal of 72406621831037 is 73013812660427.

It can be written as a sum of positive squares in 4 ways, for example, as 5486139747001 + 66920482084036 = 2342251^2 + 8180494^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72406621831037 - 230 = 72405548089213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72406621831937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862413914 + ... + 862497867.

It is an arithmetic number, because the mean of its divisors is an integer number (9750063847755).

Almost surely, 272406621831037 is an apocalyptic number.

It is an amenable number.

72406621831037 is a deficient number, since it is larger than the sum of its proper divisors (5593888951003).

72406621831037 is a wasteful number, since it uses less digits than its factorization.

72406621831037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724915023.

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 72406621831037 in words is "seventy-two trillion, four hundred six billion, six hundred twenty-one million, eight hundred thirty-one thousand, thirty-seven".

Divisors: 1 13 3229 41977 1724911781 22423853153 5569740140849 72406621831037