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426315465700 = 225229794873821
BaseRepresentation
bin1100011010000100110…
…00011100001111100100
31111202101122202112111121
412031002120130033210
523441043224400300
6523502511543324
742541331445235
oct6150230341744
91452348675447
10426315465700
11154887a6a263
126a75822ab44
1331280566117
14168c313508c
15b151d1381a
hex634261c3e4

426315465700 has 144 divisors (see below), whose sum is σ = 971362828800. Its totient is φ = 162185587200.

The previous prime is 426315465679. The next prime is 426315465701. The reversal of 426315465700 is 7564513624.

It is not an unprimeable number, because it can be changed into a prime (426315465701) 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, 111569790 + ... + 111573610.

It is an arithmetic number, because the mean of its divisors is an integer number (6745575200).

Almost surely, 2426315465700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426315465700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485681414400).

426315465700 is an abundant number, since it is smaller than the sum of its proper divisors (545047363100).

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

426315465700 is a wasteful number, since it uses less digits than its factorization.

426315465700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 426315465700 in words is "four hundred twenty-six billion, three hundred fifteen million, four hundred sixty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 79 100 116 145 158 290 316 395 487 580 725 790 974 1450 1580 1948 1975 2291 2435 2900 3821 3950 4582 4870 7642 7900 9164 9740 11455 12175 14123 15284 19105 22910 24350 28246 38210 38473 45820 48700 56492 57275 70615 76420 76946 95525 110809 114550 141230 153892 191050 192365 221618 229100 282460 301859 353075 382100 384730 443236 554045 603718 706150 769460 961825 1108090 1115717 1207436 1412300 1509295 1860827 1923650 2216180 2231434 2770225 3018590 3721654 3847300 4462868 5540450 5578585 6037180 7443308 7546475 8753911 9304135 11080900 11157170 15092950 17507822 18608270 22314340 27892925 30185900 35015644 37216540 43769555 46520675 53963983 55785850 87539110 93041350 107927966 111571700 147005333 175078220 186082700 215855932 218847775 269819915 294010666 437695550 539639830 588021332 735026665 875391100 1079279660 1349099575 1470053330 2698199150 2940106660 3675133325 4263154657 5396398300 7350266650 8526309314 14700533300 17052618628 21315773285 42631546570 85263093140 106578866425 213157732850 426315465700