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5305527510 = 23519411311733
BaseRepresentation
bin1001111000011101…
…11110110011010110
3111200202021201111220
410330032332303112
541331203340020
62234243511210
7245322145143
oct47416766326
914622251456
105305527510
112282917388
121040988506
136672435ba
143848b33ca
15210ba8240
hex13c3becd6

5305527510 has 128 divisors (see below), whose sum is σ = 13843146240. Its totient is φ = 1296921600.

The previous prime is 5305527503. The next prime is 5305527547. The reversal of 5305527510 is 157255035.

It is a super-3 number, since 3×53055275103 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3060604 + ... + 3062336.

It is an arithmetic number, because the mean of its divisors is an integer number (108149580).

Almost surely, 25305527510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305527510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6921573120).

5305527510 is an abundant number, since it is smaller than the sum of its proper divisors (8537618730).

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

5305527510 is a wasteful number, since it uses less digits than its factorization.

5305527510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934.

The product of its (nonzero) digits is 26250, while the sum is 33.

The square root of 5305527510 is about 72839.0520943264. The cubic root of 5305527510 is about 1744.1193094018.

The spelling of 5305527510 in words is "five billion, three hundred five million, five hundred twenty-seven thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 41 57 82 95 114 123 131 190 205 246 262 285 393 410 570 615 655 779 786 1230 1310 1558 1733 1965 2337 2489 3466 3895 3930 4674 4978 5199 5371 7467 7790 8665 10398 10742 11685 12445 14934 16113 17330 23370 24890 25995 26855 32226 32927 37335 51990 53710 65854 71053 74670 80565 98781 102049 142106 161130 164635 197562 204098 213159 227023 306147 329270 355265 426318 454046 493905 510245 612294 681069 710530 987810 1020490 1065795 1135115 1350007 1362138 1530735 2131590 2270230 2700014 3061470 3405345 4050021 4313437 6750035 6810690 8100042 8626874 9307943 12940311 13500070 18615886 20250105 21567185 25880622 27923829 40500210 43134370 46539715 55847658 64701555 93079430 129403110 139619145 176850917 279238290 353701834 530552751 884254585 1061105502 1768509170 2652763755 5305527510