Search a number
-
+
450275650146465 = 351113376335578049
BaseRepresentation
bin110011001100001011111100…
…0001011011001000010100001
32012001021221011020210200111120
41212120113320023121002201
5433004304012414141330
64233353440015402453
7163562225240061363
oct14630277013310241
92161257136720446
10450275650146465
11120520915933690
1242602530223429
1316432a7216b970
147d2965a0c8d33
15370ca828a0c10
hex19985f82d90a1

450275650146465 has 64 divisors (see below), whose sum is σ = 846414913478400. Its totient is φ = 201516578242560.

The previous prime is 450275650146451. The next prime is 450275650146467. The reversal of 450275650146465 is 564641056572054.

It is a happy number.

It is not a de Polignac number, because 450275650146465 - 24 = 450275650146449 is a prime.

It is a super-2 number, since 2×4502756501464652 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 450275650146399 and 450275650146408.

It is not an unprimeable number, because it can be changed into a prime (450275650146467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77933761 + ... + 83511809.

It is an arithmetic number, because the mean of its divisors is an integer number (13225233023100).

Almost surely, 2450275650146465 is an apocalyptic number.

It is an amenable number.

450275650146465 is a deficient number, since it is larger than the sum of its proper divisors (396139263331935).

450275650146465 is a wasteful number, since it uses less digits than its factorization.

450275650146465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5615714.

The product of its (nonzero) digits is 120960000, while the sum is 60.

The spelling of 450275650146465 in words is "four hundred fifty trillion, two hundred seventy-five billion, six hundred fifty million, one hundred forty-six thousand, four hundred sixty-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 143 165 195 429 715 2145 37633 112899 188165 413963 489229 564495 1241889 1467687 2069815 2446145 5381519 5578049 6209445 7338435 16144557 16734147 26907595 27890245 61358539 72514637 80722785 83670735 184075617 217543911 306792695 362573185 797661007 920378085 1087719555 2392983021 3988305035 11964915105 209918718017 629756154051 1049593590085 2309105898187 2728943334221 3148780770255 6927317694561 8186830002663 11545529490935 13644716671105 30018376676431 34636588472805 40934150013315 90055130029293 150091883382155 450275650146465