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129226302480 = 243511281174197
BaseRepresentation
bin111100001011001111…
…1001110010000010000
3110100120000002100011010
41320112133032100100
54104123413134410
6135211000050520
712223230306312
oct1702637162020
9410500070133
10129226302480
114a8939737a0
1221065763a40
13c255800952
14637c8297b2
153564e84c20
hex1e167ce410

129226302480 has 160 divisors (see below), whose sum is σ = 438577607808. Its totient is φ = 31215923200.

The previous prime is 129226302473. The next prime is 129226302487. The reversal of 129226302480 is 84203622921.

It is an interprime number because it is at equal distance from previous prime (129226302473) and next prime (129226302487).

It is not an unprimeable number, because it can be changed into a prime (129226302487) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 654742 + ... + 828938.

Almost surely, 2129226302480 is an apocalyptic number.

129226302480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129226302480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219288803904).

129226302480 is an abundant number, since it is smaller than the sum of its proper divisors (309351305328).

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

129226302480 is a wasteful number, since it uses less digits than its factorization.

129226302480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174505 (or 174499 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 129226302480 in words is "one hundred twenty-nine billion, two hundred twenty-six million, three hundred two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 281 330 440 528 562 660 843 880 1124 1320 1405 1686 2248 2640 2810 3091 3372 4215 4496 5620 6182 6744 8430 9273 11240 12364 13488 15455 16860 18546 22480 24728 30910 33720 37092 46365 49456 61820 67440 74184 92730 123640 148368 174197 185460 247280 348394 370920 522591 696788 741840 870985 1045182 1393576 1741970 1916167 2090364 2612955 2787152 3483940 3832334 4180728 5225910 5748501 6967880 7664668 8361456 9580835 10451820 11497002 13935760 15329336 19161670 20903640 22994004 28742505 30658672 38323340 41807280 45988008 48949357 57485010 76646680 91976016 97898714 114970020 146848071 153293360 195797428 229940040 244746785 293696142 391594856 459880080 489493570 538442927 587392284 734240355 783189712 978987140 1076885854 1174784568 1468480710 1615328781 1957974280 2153771708 2349569136 2692214635 2936961420 3230657562 3915948560 4307543416 5384429270 5873922840 6461315124 8076643905 8615086832 10768858540 11747845680 12922630248 16153287810 21537717080 25845260496 32306575620 43075434160 64613151240 129226302480