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450368521470 = 23357686334721
BaseRepresentation
bin1101000110111000000…
…11100100010011111110
31121001110221211101001000
412203130003210103332
524334323320141340
6542521344231130
744352360161250
oct6433403442376
91531427741030
10450368521470
1116400032004a
127334b60b4a6
133361484a6ba
1417b25821cd0
15baad7d4d30
hex68dc0e44fe

450368521470 has 128 divisors (see below), whose sum is σ = 1372791214080. Its totient is φ = 102923412480.

The previous prime is 450368521457. The next prime is 450368521501. The reversal of 450368521470 is 74125863054.

450368521470 is a `hidden beast` number, since 4 + 5 + 0 + 368 + 5 + 214 + 70 = 666.

450368521470 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12953710 + ... + 12988430.

It is an arithmetic number, because the mean of its divisors is an integer number (10724931360).

Almost surely, 2450368521470 is an apocalyptic number.

450368521470 is an abundant number, since it is smaller than the sum of its proper divisors (922422692610).

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

450368521470 is a wasteful number, since it uses less digits than its factorization.

450368521470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41607 (or 41601 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 450368521470 in words is "four hundred fifty billion, three hundred sixty-eight million, five hundred twenty-one thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 6863 13726 20589 34315 34721 41178 48041 61767 68630 69442 96082 102945 104163 123534 144123 173605 185301 205890 208326 240205 243047 288246 308835 312489 347210 370602 432369 480410 486094 520815 617670 624978 720615 729141 864738 926505 937467 1041630 1215235 1297107 1441230 1458282 1562445 1853010 1874934 2161845 2187423 2430470 2594214 3124890 3645705 4323690 4374846 4687335 6485535 6562269 7291410 9374670 10937115 12971070 13124538 21874230 32811345 65622690 238290223 476580446 714870669 1191451115 1429741338 1668031561 2144612007 2382902230 3336063122 3574353345 4289224014 5004094683 6433836021 7148706690 8340157805 10008189366 10723060035 12867672042 15012284049 16680315610 21446120070 25020473415 30024568098 32169180105 45036852147 50040946830 64338360210 75061420245 90073704294 150122840490 225184260735 450368521470