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7981495420 = 22523294114593
BaseRepresentation
bin1110110111011101…
…11111010001111100
3202121020120222101111
413123232333101330
5112321230323140
63355555051404
7401534406643
oct73356772174
922536528344
107981495420
113426389708
121668ba0b64
139a2764572
1455a04c35a
1531aa927ea
hex1dbbbf47c

7981495420 has 96 divisors (see below), whose sum is σ = 18535547520. Its totient is φ = 2876375040.

The previous prime is 7981495339. The next prime is 7981495429. The reversal of 7981495420 is 245941897.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7981495429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539644 + ... + 554236.

It is an arithmetic number, because the mean of its divisors is an integer number (193078620).

Almost surely, 27981495420 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 7981495420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9267773760).

7981495420 is an abundant number, since it is smaller than the sum of its proper divisors (10554052100).

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

7981495420 is a wasteful number, since it uses less digits than its factorization.

7981495420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14695 (or 14693 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The square root of 7981495420 is about 89339.2154655502. The cubic root of 7981495420 is about 1998.4567611799.

The spelling of 7981495420 in words is "seven billion, nine hundred eighty-one million, four hundred ninety-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 41 46 58 82 92 115 116 145 164 205 230 290 410 460 580 667 820 943 1189 1334 1886 2378 2668 3335 3772 4715 4756 5945 6670 9430 11890 13340 14593 18860 23780 27347 29186 54694 58372 72965 109388 136735 145930 273470 291860 335639 423197 546940 598313 671278 846394 1196626 1342556 1678195 1692788 2115985 2393252 2991565 3356390 4231970 5983130 6712780 8463940 9733531 11966260 13761199 17351077 19467062 27522398 34702154 38934124 48667655 55044796 68805995 69404308 86755385 97335310 137611990 173510770 194670620 275223980 347021540 399074771 798149542 1596299084 1995373855 3990747710 7981495420