Search a number
-
+
386832997681 = 132478432
BaseRepresentation
bin1011010000100010000…
…10110001110100110001
31100222111001112100102021
411220101002301310301
522314213221411211
6453413021351441
736643040141104
oct5502102616461
91328431470367
10386832997681
1113a0671626a9
1262b79708581
132a62a796900
1414a195a473b
15a0e09a9771
hex5a110b1d31

386832997681 has 9 divisors (see below), whose sum is σ = 418887090219. Its totient is φ = 357069149736.

The previous prime is 386832997667. The next prime is 386832997699. The reversal of 386832997681 is 186799238683.

The square root of 386832997681 is 621959.

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

It can be written as a sum of positive squares in only one way, i.e., 57223816225 + 329609181456 = 239215^2 + 574116^2 .

It is not a de Polignac number, because 386832997681 - 233 = 378243063089 is a prime.

It is a super-2 number, since 2×3868329976812 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 386832997681.

It is not an unprimeable number, because it can be changed into a prime (386832997631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8061546 + ... + 8109388.

Almost surely, 2386832997681 is an apocalyptic number.

386832997681 is the 621959-th square number.

386832997681 is the 310980-th centered octagonal number.

It is an amenable number.

386832997681 is a deficient number, since it is larger than the sum of its proper divisors (32054092538).

386832997681 is an frugal number, since it uses more digits than its factorization.

386832997681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95712 (or 47856 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 70.

The spelling of 386832997681 in words is "three hundred eighty-six billion, eight hundred thirty-two million, nine hundred ninety-seven thousand, six hundred eighty-one".

Divisors: 1 13 169 47843 621959 8085467 2288952649 29756384437 386832997681