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422557445772 = 2232711257593143
BaseRepresentation
bin1100010011000100110…
…00101110111010001100
31111101200202101100022100
412021202120232322030
523410344201231042
6522041544315100
742346240012020
oct6114230567214
91441622340270
10422557445772
11153229731270
1269a89772a90
1330b01b098a7
1416647db0380
15aed1e3b24c
hex626262ee8c

422557445772 has 144 divisors (see below), whose sum is σ = 1336880143872. Its totient is φ = 109327933440.

The previous prime is 422557445731. The next prime is 422557445867. The reversal of 422557445772 is 277544755224.

422557445772 is a `hidden beast` number, since 4 + 2 + 2 + 55 + 74 + 457 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415833 + ... + 1008975.

It is an arithmetic number, because the mean of its divisors is an integer number (9283889888).

Almost surely, 2422557445772 is an apocalyptic number.

422557445772 is a gapful number since it is divisible by the number (42) 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 422557445772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668440071936).

422557445772 is an abundant number, since it is smaller than the sum of its proper divisors (914322698100).

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

422557445772 is a wasteful number, since it uses less digits than its factorization.

422557445772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593428 (or 593423 counting only the distinct ones).

The product of its digits is 21952000, while the sum is 54.

The spelling of 422557445772 in words is "four hundred twenty-two billion, five hundred fifty-seven million, four hundred forty-five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 257 308 396 462 514 693 771 924 1028 1386 1542 1799 2313 2772 2827 3084 3598 4626 5397 5654 7196 8481 9252 10794 11308 16191 16962 19789 21588 25443 32382 33924 39578 50886 59367 64764 79156 101772 118734 178101 237468 356202 593143 712404 1186286 1779429 2372572 3558858 4152001 5338287 6524573 7117716 8304002 10676574 12456003 13049146 16608004 19573719 21353148 24912006 26098292 37368009 39147438 45672011 49824012 58721157 74736018 78294876 91344022 117442314 137016033 149472036 152437751 182688044 234884628 274032066 304875502 411048099 457313253 548064132 609751004 822096198 914626506 1067064257 1371939759 1644192396 1676815261 1829253012 2134128514 2743879518 3201192771 3353630522 4268257028 5030445783 5487759036 6402385542 6707261044 9603578313 10060891566 11737706827 12804771084 15091337349 19207156626 20121783132 23475413654 30182674698 35213120481 38414313252 46950827308 60365349396 70426240962 105639361443 140852481924 211278722886 422557445772