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8378223060 = 22353116072803
BaseRepresentation
bin1111100110110000…
…11000100111010100
3210121220002211101210
413303120120213110
5114124311114220
63503210221420
7414422502204
oct76330304724
923556084353
108378223060
11360a319a99
121759a24870
13a369cb54c
14596a00404
1534080b6e0
hex1f36189d4

8378223060 has 96 divisors (see below), whose sum is σ = 24239480832. Its totient is φ = 2160005760.

The previous prime is 8378223053. The next prime is 8378223097. The reversal of 8378223060 is 603228738.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2987619 + ... + 2990421.

It is an arithmetic number, because the mean of its divisors is an integer number (252494592).

Almost surely, 28378223060 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 8378223060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12119740416).

8378223060 is an abundant number, since it is smaller than the sum of its proper divisors (15861257772).

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

8378223060 is a wasteful number, since it uses less digits than its factorization.

8378223060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 8378223060 is about 91532.6338526320. The cubic root of 8378223060 is about 2031.0345265274.

The spelling of 8378223060 in words is "eight billion, three hundred seventy-eight million, two hundred twenty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1607 1860 2803 3214 4821 5606 6428 8035 8409 9642 11212 14015 16070 16818 19284 24105 28030 32140 33636 42045 48210 49817 56060 84090 86893 96420 99634 149451 168180 173786 199268 249085 260679 298902 347572 434465 498170 521358 597804 747255 868930 996340 1042716 1303395 1494510 1737860 2606790 2989020 4504421 5213580 9008842 13513263 18017684 22522105 27026526 45044210 54053052 67566315 90088420 135132630 139637051 270265260 279274102 418911153 558548204 698185255 837822306 1396370510 1675644612 2094555765 2792741020 4189111530 8378223060