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126460600420 = 225721115177689
BaseRepresentation
bin111010111000110100…
…0111010000001100100
3110002102020221010011111
41311301220322001210
54032442403203140
6134032321314404
712064545240100
oct1656150720144
9402366833144
10126460600420
11496a4791910
1220613495a04
13bc04821a5b
1461993b2900
1534522727ea
hex1d71a3a064

126460600420 has 144 divisors (see below), whose sum is σ = 339245504640. Its totient is φ = 39154752000.

The previous prime is 126460600403. The next prime is 126460600429. The reversal of 126460600420 is 24006064621.

It is not an unprimeable number, because it can be changed into a prime (126460600429) 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 47 ways as a sum of consecutive naturals, for example, 1588936 + ... + 1666624.

It is an arithmetic number, because the mean of its divisors is an integer number (2355871560).

Almost surely, 2126460600420 is an apocalyptic number.

126460600420 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 126460600420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169622752320).

126460600420 is an abundant number, since it is smaller than the sum of its proper divisors (212784904220).

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

126460600420 is a wasteful number, since it uses less digits than its factorization.

126460600420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77874 (or 77865 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 126460600420 in words is "one hundred twenty-six billion, four hundred sixty million, six hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 151 154 196 220 245 302 308 385 490 539 604 755 770 980 1057 1078 1510 1540 1661 2114 2156 2695 3020 3322 4228 5285 5390 6644 7399 8305 10570 10780 11627 14798 16610 21140 23254 29596 33220 36995 46508 58135 73990 77689 81389 116270 147980 155378 162778 232540 310756 325556 388445 406945 543823 776890 813890 854579 1087646 1553780 1627780 1709158 2175292 2719115 3418316 3806761 4272895 5438230 5982053 7613522 8545790 10876460 11731039 11964106 15227044 17091580 19033805 23462078 23928212 29910265 38067610 41874371 46924156 58655195 59820530 76135220 82117273 83748742 117310390 119641060 129041429 164234546 167497484 209371855 234620780 258082858 328469092 410586365 418743710 516165716 574820911 645207145 821172730 837487420 903290003 1149641822 1290414290 1642345460 1806580006 2299283644 2580828580 2874104555 3613160012 4516450015 5748209110 6323030021 9032900030 11496418220 12646060042 18065800060 25292120084 31615150105 63230300210 126460600420