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7613421540 = 22351371934799
BaseRepresentation
bin1110001011100101…
…11001011111100100
3201122120222212221120
413011302321133210
5111043013442130
63255250013540
7356445005154
oct70562713744
921576885846
107613421540
11325763a31a
1215858772b0
1394442087a
145231d8764
152e85d8910
hex1c5cb97e4

7613421540 has 96 divisors (see below), whose sum is σ = 21588940800. Its totient is φ = 2004566016.

The previous prime is 7613421503. The next prime is 7613421547. The reversal of 7613421540 is 451243167.

It is not an unprimeable number, because it can be changed into a prime (7613421547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1584061 + ... + 1588859.

It is an arithmetic number, because the mean of its divisors is an integer number (224884800).

Almost surely, 27613421540 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 7613421540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10794470400).

7613421540 is an abundant number, since it is smaller than the sum of its proper divisors (13975519260).

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

7613421540 is a wasteful number, since it uses less digits than its factorization.

7613421540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 7613421540 is about 87254.9227264571. The cubic root of 7613421540 is about 1967.2518338504.

The spelling of 7613421540 in words is "seven billion, six hundred thirteen million, four hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 193 274 386 411 548 579 685 772 822 965 1158 1370 1644 1930 2055 2316 2740 2895 3860 4110 4799 5790 8220 9598 11580 14397 19196 23995 26441 28794 47990 52882 57588 71985 79323 95980 105764 132205 143970 158646 264410 287940 317292 396615 528820 657463 793230 926207 1314926 1586460 1852414 1972389 2629852 2778621 3287315 3704828 3944778 4631035 5557242 6574630 7889556 9262070 9861945 11114484 13149260 13893105 18524140 19723890 27786210 39447780 55572420 126890359 253780718 380671077 507561436 634451795 761342154 1268903590 1522684308 1903355385 2537807180 3806710770 7613421540