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428273306460 = 2232519491255043
BaseRepresentation
bin1100011101101110001…
…01000000101101011100
31111221110002210011010100
412032313011000231130
524004100431301320
6524425051141100
742641004016626
oct6166705005534
91457402704110
10428273306460
111556a2130a7a
126b003a44790
133150306bb8c
1416a2b177c16
15b218b49790
hex63b7140b5c

428273306460 has 144 divisors (see below), whose sum is σ = 1370259596160. Its totient is φ = 107974581120.

The previous prime is 428273306449. The next prime is 428273306477. The reversal of 428273306460 is 64603372824.

428273306460 is a `hidden beast` number, since 4 + 282 + 7 + 3 + 306 + 4 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1551699 + ... + 1806741.

It is an arithmetic number, because the mean of its divisors is an integer number (9515691640).

Almost surely, 2428273306460 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 428273306460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685129798080).

428273306460 is an abundant number, since it is smaller than the sum of its proper divisors (941986289700).

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

428273306460 is a wasteful number, since it uses less digits than its factorization.

428273306460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255568 (or 255563 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 428273306460 in words is "four hundred twenty-eight billion, two hundred seventy-three million, three hundred six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 491 570 684 855 982 1140 1473 1710 1964 2455 2946 3420 4419 4910 5892 7365 8838 9329 9820 14730 17676 18658 22095 27987 29460 37316 44190 46645 55974 83961 88380 93290 111948 139935 167922 186580 255043 279870 335844 419805 510086 559740 765129 839610 1020172 1275215 1530258 1679220 2295387 2550430 3060516 3825645 4590774 4845817 5100860 7651290 9181548 9691634 11476935 14537451 15302580 19383268 22953870 24229085 29074902 43612353 45907740 48458170 58149804 72687255 87224706 96916340 125226113 145374510 174449412 218061765 250452226 290749020 375678339 436123530 500904452 626130565 751356678 872247060 1127035017 1252261130 1502713356 1878391695 2254070034 2379296147 2504522260 3756783390 4508140068 4758592294 5635175085 7137888441 7513566780 9517184588 11270350170 11896480735 14275776882 21413665323 22540700340 23792961470 28551553764 35689442205 42827330646 47585922940 71378884410 85654661292 107068326615 142757768820 214136653230 428273306460