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427558964560 = 245713148939443
BaseRepresentation
bin1100011100011001000…
…00000000110101010000
31111212121022121211020221
412032030200000311100
524001120043331220
6524230132242424
742614211143320
oct6161440006520
91455538554227
10427558964560
11155365986372
126aa44770414
133141b07a870
14169a0349280
15b1c60929aa
hex638c800d50

427558964560 has 160 divisors (see below), whose sum is σ = 1224329137920. Its totient is φ = 135221059584.

The previous prime is 427558964557. The next prime is 427558964611. The reversal of 427558964560 is 65469855724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10820199 + ... + 10859641.

It is an arithmetic number, because the mean of its divisors is an integer number (7652057112).

Almost surely, 2427558964560 is an apocalyptic number.

427558964560 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 427558964560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612164568960).

427558964560 is an abundant number, since it is smaller than the sum of its proper divisors (796770173360).

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

427558964560 is a wasteful number, since it uses less digits than its factorization.

427558964560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40965 (or 40959 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 61.

The spelling of 427558964560 in words is "four hundred twenty-seven billion, five hundred fifty-eight million, nine hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1489 1820 2978 3640 5956 7280 7445 10423 11912 14890 19357 20846 23824 29780 38714 39443 41692 52115 59560 77428 78886 83384 96785 104230 119120 135499 154856 157772 166768 193570 197215 208460 270998 276101 309712 315544 387140 394430 416920 512759 541996 552202 631088 677495 774280 788860 833840 1025518 1083992 1104404 1354990 1380505 1548560 1577720 2051036 2167984 2208808 2563795 2709980 2761010 3155440 3589313 4102072 4417616 5127590 5419960 5522020 7178626 8204144 10255180 10839920 11044040 14357252 17946565 20510360 22088080 28714504 35893130 41020720 57429008 58730627 71786260 117461254 143572520 234922508 287145040 293653135 411114389 469845016 587306270 763498151 822228778 939690032 1174612540 1526996302 1644457556 2055571945 2349225080 3053992604 3288915112 3817490755 4111143890 4698450160 5344487057 6107985208 6577830224 7634981510 8222287780 10688974114 12215970416 15269963020 16444575560 21377948228 26722435285 30539926040 32889151120 42755896456 53444870570 61079852080 85511792912 106889741140 213779482280 427558964560