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5263058430 = 234577191291
BaseRepresentation
bin1001110011011001…
…11110010111111110
3111120210101001220000
410321230332113332
541234320332210
62230125335130
7244265154450
oct47154762776
914523331800
105263058430
11226094a773
12102a7074a6
1365b4c3c76
1437cdba2d0
1520c0b9ac0
hex139b3e5fe

5263058430 has 160 divisors (see below), whose sum is σ = 16208501760. Its totient is φ = 1200381120.

The previous prime is 5263058371. The next prime is 5263058431. The reversal of 5263058430 is 348503625.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5263058431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4076085 + ... + 4077375.

It is an arithmetic number, because the mean of its divisors is an integer number (101303136).

Almost surely, 25263058430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5263058430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104250880).

5263058430 is an abundant number, since it is smaller than the sum of its proper divisors (10945443330).

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

5263058430 is a wasteful number, since it uses less digits than its factorization.

5263058430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5263058430 is about 72546.9394943715. The cubic root of 5263058430 is about 1739.4531277824.

The spelling of 5263058430 in words is "five billion, two hundred sixty-three million, fifty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 719 810 945 1134 1291 1438 1890 2157 2582 2835 3595 3873 4314 5033 5670 6455 6471 7190 7746 9037 10066 10785 11619 12910 12942 15099 18074 19365 19413 21570 23238 25165 27111 30198 32355 34857 38730 38826 45185 45297 50330 54222 58095 58239 64710 69714 75495 81333 90370 90594 97065 104571 116190 116478 135555 135891 150990 162666 174285 194130 209142 226485 243999 271110 271782 291195 348570 406665 407673 452970 487998 522855 582390 679455 731997 813330 815346 928229 1045710 1219995 1358910 1463994 1856458 2038365 2439990 2784687 3659985 4076730 4641145 5569374 6497603 7319970 8354061 9282290 12995206 13923435 16708122 19492809 25062183 27846870 32488015 38985618 41770305 50124366 58478427 64976030 75186549 83540610 97464045 116956854 125310915 150373098 175435281 194928090 250621830 292392135 350870562 375932745 526305843 584784270 751865490 877176405 1052611686 1754352810 2631529215 5263058430