Search a number
-
+
679384765504 = 2619725232
BaseRepresentation
bin10011110001011100111…
…11001101010001000000
32101221121111021222102101
421320232133031101000
542112334444444004
61240034405200144
7100040534140024
oct11705637152100
92357544258371
10679384765504
11242141a96915
12ab804700054
134c0b1491433
1424c4d42c384
1512a1430eba4
hex9e2e7cd440

679384765504 has 63 divisors (see below), whose sum is σ = 1357628142117. Its totient is φ = 337321845504.

The previous prime is 679384765489. The next prime is 679384765511. The reversal of 679384765504 is 405567483976.

The square root of 679384765504 is 824248.

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., 665660174400 + 13724591104 = 815880^2 + 117152^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

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, 1299014587 + ... + 1299015109.

Almost surely, 2679384765504 is an apocalyptic number.

679384765504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

679384765504 is the 824248-th square number.

It is an amenable number.

679384765504 is a deficient number, since it is larger than the sum of its proper divisors (678243376613).

679384765504 is an frugal number, since it uses more digits than its factorization.

679384765504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 64.

Multiplying 679384765504 by its sum of digits (64), we get a square (43480624992256 = 65939842).

679384765504 divided by its sum of digits (64) gives a square (10615386961 = 1030312).

The spelling of 679384765504 in words is "six hundred seventy-nine billion, three hundred eighty-four million, seven hundred sixty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 197 394 523 788 1046 1576 2092 3152 4184 6304 8368 12608 16736 33472 38809 77618 103031 155236 206062 273529 310472 412124 547058 620944 824248 1094116 1241888 1648496 2188232 2483776 3296992 4376464 6593984 8752928 17505856 20297107 40594214 53885213 81188428 107770426 162376856 215540852 324753712 431081704 649507424 862163408 1299014848 1724326816 3448653632 10615386961 21230773922 42461547844 84923095688 169846191376 339692382752 679384765504