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409426643080 = 235713632317789
BaseRepresentation
bin1011111010100111011…
…10101100100010001000
31110010210122110110021201
411331103232230202020
523202001210034310
6512031001513544
741402655021310
oct5752356544210
91403718413251
10409426643080
11148700736914
12674241a28b4
132c7bb5cac60
1415b60116440
15a9b429ce3a
hex5f53bac888

409426643080 has 128 divisors (see below), whose sum is σ = 1134039916800. Its totient is φ = 129549007872.

The previous prime is 409426643063. The next prime is 409426643081. The reversal of 409426643080 is 80346624904.

It is a self number, because there is not a number n which added to its sum of digits gives 409426643080.

It is not an unprimeable number, because it can be changed into a prime (409426643081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23006826 + ... + 23024614.

It is an arithmetic number, because the mean of its divisors is an integer number (8859686850).

Almost surely, 2409426643080 is an apocalyptic number.

409426643080 is a gapful number since it is divisible by the number (40) 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 409426643080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567019958400).

409426643080 is an abundant number, since it is smaller than the sum of its proper divisors (724613273720).

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

409426643080 is a wasteful number, since it uses less digits than its factorization.

409426643080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24143 (or 24139 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 409426643080 in words is "four hundred nine billion, four hundred twenty-six million, six hundred forty-three thousand, eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 6323 12646 17789 25292 31615 35578 44261 50584 63230 71156 82199 88522 88945 124523 126460 142312 164398 177044 177890 221305 231257 249046 252920 328796 354088 355780 410995 442610 462514 498092 575393 622615 657592 711560 821990 885220 925028 996184 1150786 1156285 1245230 1618799 1643980 1770440 1850056 2301572 2312570 2490460 2876965 3237598 3287960 4603144 4625140 4980920 5753930 6475196 8093995 9250280 11507860 12950392 16187990 23015720 32375980 64751960 112479847 224959694 449919388 562399235 787358929 899838776 1124798470 1462238011 1574717858 2249596940 2924476022 3149435716 3936794645 4499193880 5848952044 6298871432 7311190055 7873589290 10235666077 11697904088 14622380110 15747178580 20471332154 29244760220 31494357160 40942664308 51178330385 58489520440 81885328616 102356660770 204713321540 409426643080