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426644421525 = 325273124473571
BaseRepresentation
bin1100011010101011111…
…11010011101110010101
31111210020120202020001200
412031111333103232111
523442231432442100
6523555302343113
742552434514150
oct6152577235625
91453216666050
10426644421525
11154a36720683
126a82a42aa99
133130376183a
1416914ac4c97
15b170b41e00
hex6355fd3b95

426644421525 has 144 divisors (see below), whose sum is σ = 902127403008. Its totient is φ = 188615952000.

The previous prime is 426644421521. The next prime is 426644421551. The reversal of 426644421525 is 525124446624.

426644421525 is a `hidden beast` number, since 4 + 2 + 6 + 64 + 44 + 21 + 525 = 666.

It is not a de Polignac number, because 426644421525 - 22 = 426644421521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426644421521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119472990 + ... + 119476560.

It is an arithmetic number, because the mean of its divisors is an integer number (6264773632).

Almost surely, 2426644421525 is an apocalyptic number.

426644421525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

426644421525 is an abundant number, since it is smaller than the sum of its proper divisors (475482981483).

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

426644421525 is a wasteful number, since it uses less digits than its factorization.

426644421525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6072 (or 6064 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The spelling of 426644421525 in words is "four hundred twenty-six billion, six hundred forty-four million, four hundred twenty-one thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 31 35 45 63 75 93 105 155 175 217 225 279 315 465 525 651 775 1085 1395 1575 1953 2325 2447 3255 3571 5425 6975 7341 9765 10713 12235 16275 17129 17855 22023 24997 32139 36705 48825 51387 53565 61175 74991 75857 85645 89275 110115 110701 124985 154161 160695 183525 224973 227571 256935 267825 332103 374955 379285 428225 530999 550575 553505 624925 682713 770805 774907 803475 996309 1124865 1137855 1284675 1592997 1660515 1874775 1896425 2324721 2654995 2767525 3413565 3854025 3874535 4778991 4981545 5624325 5689275 6974163 7964985 8302575 8738237 11623605 13274975 17067825 19372675 23894955 24907725 26214711 34870815 39824925 43691185 58118025 61167659 78644133 119474775 131073555 174354075 183502977 218455925 270885347 305838295 393220665 550508931 655367775 812656041 917514885 1354426735 1529191475 1896197429 1966103325 2437968123 2752544655 4063280205 4587574425 5688592287 6772133675 9480987145 12189840615 13762723275 17065776861 20316401025 28442961435 47404935725 60949203075 85328884305 142214807175 426644421525