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445304250041532 = 223761265393274637
BaseRepresentation
bin110010101000000000111100…
…1101001000000010010111100
32011101200200002211102202120020
41211100001321221000102330
5431331331101002312112
64215025540502052140
7162540112303314420
oct14520017151002274
92141620084382506
10445304250041532
111199845210aa642
1241b3ab4441a050
131616201a38533b
147bd6baac4cb80
1536735bade248c
hex1950079a404bc

445304250041532 has 96 divisors (see below), whose sum is σ = 1206990699317760. Its totient is φ = 125139297841920.

The previous prime is 445304250041503. The next prime is 445304250041671. The reversal of 445304250041532 is 235140052403544.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 134348518 + ... + 137623154.

It is an arithmetic number, because the mean of its divisors is an integer number (12572819784560).

Almost surely, 2445304250041532 is an apocalyptic number.

445304250041532 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

445304250041532 is an abundant number, since it is smaller than the sum of its proper divisors (761686449276228).

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

445304250041532 is a wasteful number, since it uses less digits than its factorization.

445304250041532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301251 (or 3301249 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 445304250041532 in words is "four hundred forty-five trillion, three hundred four billion, two hundred fifty million, forty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 5124 26539 53078 79617 106156 159234 185773 318468 371546 557319 743092 1114638 1618879 2229276 3237758 3274637 4856637 6475516 6549274 9713274 9823911 11332153 13098548 19426548 19647822 22664306 22922459 33996459 39295644 45328612 45844918 67992918 68767377 91689836 135985836 137534754 199752857 275069508 399505714 599258571 799011428 1198517142 1398269999 2397034284 2796539998 4194809997 5593079996 8389619994 16779239988 86905591343 173811182686 260716774029 347622365372 521433548058 608339139401 1042867096116 1216678278802 1825017418203 2433356557604 3650034836406 5301241071923 7300069672812 10602482143846 15903723215769 21204964287692 31807446431538 37108687503461 63614892863076 74217375006922 111326062510383 148434750013844 222652125020766 445304250041532