Search a number
-
+
5103352026 = 234174789443
BaseRepresentation
bin1001100000010111…
…01111100011011010
3111011122212010220000
410300023233203122
540422424231101
62202222313430
7240315530223
oct46013574332
914148763800
105103352026
112189788a03
12ba5128876
136343a7036
14365ac624a
151ed06e486
hex1302ef8da

5103352026 has 160 divisors (see below), whose sum is σ = 12532734720. Its totient is φ = 1545882624.

The previous prime is 5103352019. The next prime is 5103352081. The reversal of 5103352026 is 6202533015.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11519761 + ... + 11520203.

It is an arithmetic number, because the mean of its divisors is an integer number (78329592).

Almost surely, 25103352026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5103352026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266367360).

5103352026 is an abundant number, since it is smaller than the sum of its proper divisors (7429382694).

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

5103352026 is a wasteful number, since it uses less digits than its factorization.

5103352026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5103352026 is about 71437.7493066516. The cubic root of 5103352026 is about 1721.6776521511.

The spelling of 5103352026 in words is "five billion, one hundred three million, three hundred fifty-two thousand, twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 81 89 94 102 141 153 162 178 267 282 306 423 443 459 534 799 801 846 886 918 1269 1329 1377 1513 1598 1602 2397 2403 2538 2658 2754 3026 3807 3987 4183 4539 4794 4806 7191 7209 7531 7614 7974 8366 9078 11961 12549 13617 14382 14418 15062 20821 21573 22593 23922 25098 27234 35883 37647 39427 40851 41642 43146 45186 62463 64719 67779 71111 71766 75294 78854 81702 112941 118281 122553 124926 129438 135558 142222 187389 203337 213333 225882 236562 245106 338823 353957 354843 374778 406674 426666 562167 610011 639999 670259 677646 707914 709686 1061871 1064529 1124334 1220022 1279998 1340518 1686501 1853069 1919997 2010777 2123742 2129058 3185613 3193587 3373002 3706138 3839994 4021554 5559207 5759991 6032331 6371226 6387174 9556839 11118414 11519982 12064662 16677621 18096993 19113678 28670517 31502173 33355242 36193986 50032863 54290979 57341034 63004346 94506519 100065726 108581958 150098589 189013038 283519557 300197178 567039114 850558671 1701117342 2551676013 5103352026