Search a number
-
+
450530656221654 = 23467106133911077
BaseRepresentation
bin110011001110000010101011…
…1101110010111100111010110
32012002012022101001201111210000
41212130011113232113213112
5433022443240443043104
64234110532020512130
7163616523441000501
oct14634052756274726
92162168331644700
10450530656221654
11120609a84144258
1242643a3924b646
1316450b21405708
147d37b2b700138
153714509e21639
hex199c157b979d6

450530656221654 has 80 divisors (see below), whose sum is σ = 1024686697822128. Its totient is φ = 147921462456768.

The previous prime is 450530656221631. The next prime is 450530656221671. The reversal of 450530656221654 is 456122656035054.

450530656221654 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 3 + 0 + 6 + 5 + 622 + 1 + 6 + 5 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 450530656221654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 113237964 + ... + 117149040.

Almost surely, 2450530656221654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450530656221654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512343348911064).

450530656221654 is an abundant number, since it is smaller than the sum of its proper divisors (574156041600474).

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

450530656221654 is a wasteful number, since it uses less digits than its factorization.

450530656221654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921771 (or 3921762 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 450530656221654 in words is "four hundred fifty trillion, five hundred thirty billion, six hundred fifty-six million, two hundred twenty-one thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 402 603 1206 1809 3618 5427 10613 10854 21226 31839 63678 95517 191034 286551 573102 711071 859653 1422142 1719306 2133213 3911077 4266426 6399639 7822154 11733231 12799278 19198917 23466462 35199693 38397834 57596751 70399386 105599079 115193502 211198158 262042159 316797237 524084318 633594474 786126477 1572252954 2358379431 4716758862 7075138293 14150276586 21225414879 41508260201 42450829758 83016520402 124524780603 249049561206 373574341809 747148683618 1120723025427 2241446050854 2781053433467 3362169076281 5562106866934 6724338152562 8343160300401 16686320600802 25029480901203 50058961802406 75088442703609 150176885407218 225265328110827 450530656221654