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5813083380 = 22351311936247
BaseRepresentation
bin1010110100111110…
…01001110011110100
3120000010100020021110
411122133021303310
543401122132010
62400454315020
7264024251646
oct53237116364
916003306243
105813083380
112513374645
121162958a70
13718442910
143d2074896
15240515120
hex15a7c9cf4

5813083380 has 96 divisors (see below), whose sum is σ = 17546183424. Its totient is φ = 1429484544.

The previous prime is 5813083373. The next prime is 5813083387. The reversal of 5813083380 is 833803185.

It is an interprime number because it is at equal distance from previous prime (5813083373) and next prime (5813083387).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5813083387) 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, 927417 + ... + 933663.

It is an arithmetic number, because the mean of its divisors is an integer number (182772744).

Almost surely, 25813083380 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 5813083380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8773091712).

5813083380 is an abundant number, since it is smaller than the sum of its proper divisors (11733100044).

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

5813083380 is a wasteful number, since it uses less digits than its factorization.

5813083380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7465 (or 7463 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 5813083380 is about 76243.5792706507. The cubic root of 5813083380 is about 1798.0517377032.

The spelling of 5813083380 in words is "five billion, eight hundred thirteen million, eighty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1193 2386 3579 4772 5965 6247 7158 11930 12494 14316 15509 17895 18741 23860 24988 31018 31235 35790 37482 46527 62036 62470 71580 74964 77545 81211 93054 93705 124940 155090 162422 186108 187410 232635 243633 310180 324844 374820 406055 465270 487266 812110 930540 974532 1218165 1624220 2436330 4872660 7452671 14905342 22358013 29810684 37263355 44716026 74526710 89432052 96884723 111790065 149053420 193769446 223580130 290654169 387538892 447160260 484423615 581308338 968847230 1162616676 1453270845 1937694460 2906541690 5813083380