Search a number
-
+
97086377910564 = 22327237926192
BaseRepresentation
bin10110000100110010101111…
…000100010110000100100100
3110201202100220121022202100100
4112010302233010112010210
5100211130400221114224
6542252511041344100
726310154644046200
oct2604625704260444
9421670817282310
1097086377910564
1128a31113326149
12aa7bba7638030
13422328abc2a33
1419d9011b57b00
15b3568d430ac9
hex584caf116124

97086377910564 has 243 divisors, whose sum is σ = 286698578880987. Its totient is φ = 27621080930016.

The previous prime is 97086377910461. The next prime is 97086377910583. The reversal of 97086377910564 is 46501977368079.

It is a happy number.

The square root of 97086377910564 is 9853242.

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

97086377910564 is a `hidden beast` number, since 9 + 70 + 86 + 377 + 9 + 105 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 97086377910492 and 97086377910501.

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 80 ways as a sum of consecutive naturals, for example, 156843905847 + ... + 156843906465.

Almost surely, 297086377910564 is an apocalyptic number.

97086377910564 is the 9853242-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97086377910564

97086377910564 is an abundant number, since it is smaller than the sum of its proper divisors (189612200970423).

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

97086377910564 is an equidigital number, since it uses as much as digits as its factorization.

97086377910564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 97086377910564 in words is "ninety-seven trillion, eighty-six billion, three hundred seventy-seven million, nine hundred ten thousand, five hundred sixty-four".