Search a number
-
+
31528974096 = 2432147972
BaseRepresentation
bin11101010111010001…
…011111011100010000
310000101022022211112100
4131113101133130100
51004032404132341
622252331200400
72164213600164
oct352721373420
9100338284470
1031528974096
111240a313994
12613aba6100
132c860903b9
141751530ca4
15c47e983b6
hex75745f710

31528974096 has 45 divisors (see below), whose sum is σ = 88243300821. Its totient is φ = 10508947776.

The previous prime is 31528974019. The next prime is 31528974119. The reversal of 31528974096 is 69047982513.

The square root of 31528974096 is 177564.

It is a perfect power (a square), and thus also a powerful number.

31528974096 is a `hidden beast` number, since 3 + 152 + 89 + 7 + 409 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11573456400 + 19955517696 = 107580^2 + 141264^2 .

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 8 ways as a sum of consecutive naturals, for example, 2123370 + ... + 2138166.

It is a 2-persistent number, because it is pandigital, and so is 2⋅31528974096 = 63057948192, but 3⋅31528974096 = 94586922288 is not.

Almost surely, 231528974096 is an apocalyptic number.

31528974096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31528974096 is the 177564-th square number.

It is an amenable number.

31528974096 is an abundant number, since it is smaller than the sum of its proper divisors (56714326725).

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

31528974096 is an frugal number, since it uses more digits than its factorization.

31528974096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29608 (or 14802 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 31528974096 in words is "thirty-one billion, five hundred twenty-eight million, nine hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14797 29594 44391 59188 88782 118376 133173 177564 236752 266346 355128 532692 710256 1065384 2130768 218951209 437902418 656853627 875804836 1313707254 1751609672 1970560881 2627414508 3503219344 3941121762 5254829016 7882243524 10509658032 15764487048 31528974096