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32849430845070 = 23575091373223831
BaseRepresentation
bin1110111100000010110101…
…01010000001011010001110
311022022101010022112110021110
413132001122222001122032
513301201113244020240
6153510453055112450
76630202343061240
oct736013252013216
9138271108473243
1032849430845070
11a515402369104
123826533b12726
1315438c3803928
14817cc7098090
153be7509b4c80
hex1de05aa8168e

32849430845070 has 128 divisors (see below), whose sum is σ = 90344468551680. Its totient is φ = 7488198627840.

The previous prime is 32849430845059. The next prime is 32849430845137. The reversal of 32849430845070 is 7054803494823.

It is a self number, because there is not a number n which added to its sum of digits gives 32849430845070.

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, 146648055 + ... + 146871885.

It is an arithmetic number, because the mean of its divisors is an integer number (705816160560).

Almost surely, 232849430845070 is an apocalyptic number.

32849430845070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32849430845070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45172234275840).

32849430845070 is an abundant number, since it is smaller than the sum of its proper divisors (57495037706610).

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

32849430845070 is a wasteful number, since it uses less digits than its factorization.

32849430845070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225730.

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 32849430845070 in words is "thirty-two trillion, eight hundred forty-nine billion, four hundred thirty million, eight hundred forty-five thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 509 1018 1373 1527 2545 2746 3054 3563 4119 5090 6865 7126 7635 8238 9611 10689 13730 15270 17815 19222 20595 21378 28833 35630 41190 48055 53445 57666 96110 106890 144165 223831 288330 447662 671493 698857 1119155 1342986 1397714 1566817 2096571 2238310 3133634 3357465 3494285 4193142 4700451 4891999 6714930 6988570 7834085 9400902 9783998 10482855 14675997 15668170 20965710 23502255 24459995 29351994 47004510 48919990 73379985 113929979 146759970 227859958 307319963 341789937 569649895 614639926 683579874 797509853 921959889 1139299790 1536599815 1595019706 1708949685 1843919778 2151239741 2392529559 3073199630 3417899370 3987549265 4302479482 4609799445 4785059118 6453719223 7975098530 9219598890 10756198705 11962647795 12907438446 21512397410 23925295590 32268596115 64537192230 156425861167 312851722334 469277583501 782129305835 938555167002 1094981028169 1564258611670 2189962056338 2346387917505 3284943084507 4692775835010 5474905140845 6569886169014 10949810281690 16424715422535 32849430845070