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8825748680 = 235725384961
BaseRepresentation
bin10000011100000111…
…00011110011001000
3211210002012111010202
420032003203303020
5121033342424210
64015434231332
7431465424500
oct101603436310
924702174122
108825748680
1138199a5681
121863885548
13aa863cbc8
145da216a00
15369c5b9a5
hex20e0e3cc8

8825748680 has 96 divisors (see below), whose sum is σ = 23536173240. Its totient is φ = 2968842240.

The previous prime is 8825748671. The next prime is 8825748703. The reversal of 8825748680 is 868475288.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8334594436 + 491154244 = 91294^2 + 22162^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61400 + ... + 146360.

Almost surely, 28825748680 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 8825748680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11768086620).

8825748680 is an abundant number, since it is smaller than the sum of its proper divisors (14710424560).

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

8825748680 is a wasteful number, since it uses less digits than its factorization.

8825748680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85039 (or 85028 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 56.

The square root of 8825748680 is about 93945.4558773334. The cubic root of 8825748680 is about 2066.5718951801.

The spelling of 8825748680 in words is "eight billion, eight hundred twenty-five million, seven hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 53 56 70 98 106 140 196 212 245 265 280 371 392 424 490 530 742 980 1060 1484 1855 1960 2120 2597 2968 3710 5194 7420 10388 12985 14840 20776 25970 51940 84961 103880 169922 339844 424805 594727 679688 849610 1189454 1699220 2378908 2973635 3398440 4163089 4502933 4757816 5947270 8326178 9005866 11894540 16652356 18011732 20815445 22514665 23789080 31520531 33304712 36023464 41630890 45029330 63041062 83261780 90058660 126082124 157602655 166523560 180117320 220643717 252164248 315205310 441287434 630410620 882574868 1103218585 1260821240 1765149736 2206437170 4412874340 8825748680