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679005664324 = 221324127732
BaseRepresentation
bin10011110000101111110…
…01000011010001000100
32101220122001221122100221
421320113321003101010
542111100422224244
61235533023514124
7100025251626541
oct11702771032104
92356561848327
10679005664324
11241a67aa5559
12ab719758944
134c050a89400
1424c14d47bc8
15129e0dc8784
hex9e17e43444

679005664324 has 81 divisors (see below), whose sum is σ = 1320552244389. Its totient is φ = 305348110080.

The previous prime is 679005664297. The next prime is 679005664327. The reversal of 679005664324 is 423466500976.

The square root of 679005664324 is 824018.

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

It can be written as a sum of positive squares in 13 ways, for example, as 397426854724 + 281578809600 = 630418^2 + 530640^2 .

It is a super-2 number, since 2×6790056643242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (679005664327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 878402802 + ... + 878403574.

Almost surely, 2679005664324 is an apocalyptic number.

679005664324 is the 824018-th square number.

It is an amenable number.

679005664324 is a deficient number, since it is larger than the sum of its proper divisors (641546580065).

679005664324 is an equidigital number, since it uses as much as digits as its factorization.

679005664324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 52.

The spelling of 679005664324 in words is "six hundred seventy-nine billion, five million, six hundred sixty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 13 26 41 52 82 164 169 338 533 676 773 1066 1546 1681 2132 3092 3362 6724 6929 10049 13858 20098 21853 27716 31693 40196 43706 63386 87412 126772 130637 261274 284089 412009 522548 568178 597529 824018 1136356 1195058 1299413 1648036 2390116 2598826 5197652 5356117 7767877 10712234 15535754 16892369 21424468 24498689 31071508 33784738 48997378 67569476 97994756 100982401 201964802 219600797 318482957 403929604 439201594 636965914 878403188 1004446249 1273931828 2008892498 4017784996 4140278441 8280556882 13057801237 16561113764 26115602474 52231204948 169751416081 339502832162 679005664324