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682130899424 = 25134771948523
BaseRepresentation
bin10011110110100100010…
…10111000000111100000
32102012200212122000222002
421323102022320013200
542134001002240144
61241211104303132
7100165560656252
oct11732212700740
92365625560862
10682130899424
11243321122987
12b0250311aa8
134c42b3ab650
142503002dcd2
1512b2545914e
hex9ed22b81e0

682130899424 has 96 divisors (see below), whose sum is σ = 1479104686080. Its totient is φ = 307696246272.

The previous prime is 682130899423. The next prime is 682130899441. The reversal of 682130899424 is 424998031286.

It is a happy number.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 682130899424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682130899423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14033627 + ... + 14082149.

It is an arithmetic number, because the mean of its divisors is an integer number (15407340480).

Almost surely, 2682130899424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682130899424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739552343040).

682130899424 is an abundant number, since it is smaller than the sum of its proper divisors (796973786656).

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

682130899424 is a wasteful number, since it uses less digits than its factorization.

682130899424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49312 (or 49304 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 56.

The spelling of 682130899424 in words is "six hundred eighty-two billion, one hundred thirty million, eight hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 719 752 1222 1438 1504 2444 2876 4888 5752 9347 9776 11504 18694 19552 23008 33793 37388 48523 67586 74776 97046 135172 149552 194092 270344 299104 388184 439309 540688 630799 776368 878618 1081376 1261598 1552736 1757236 2280581 2523196 3514472 4561162 5046392 7028944 9122324 10092784 14057888 18244648 20185568 29647553 34888037 36489296 59295106 69776074 72978592 118590212 139552148 237180424 279104296 453544481 474360848 558208592 907088962 948721696 1116417184 1639737739 1814177924 3279475478 3628355848 6558950956 7256711696 13117901912 14513423392 21316590607 26235803824 42633181214 52471607648 85266362428 170532724856 341065449712 682130899424