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430461254404064 = 25137375311403009
BaseRepresentation
bin110000111100000001001001…
…0001010001000011111100000
32002110010200201221111101020202
41201320002102022020133200
5422410134122111412224
64123303100440524332
7156445541112145142
oct14170022212103740
92073120657441222
10430461254404064
11115181658011484
12403423371806a8
13156264258b7830
14784261609cc92
1534b7442238eae
hex18780922887e0

430461254404064 has 48 divisors (see below), whose sum is σ = 912662528304240. Its totient is φ = 198674014126080.

The previous prime is 430461254404063. The next prime is 430461254404073. The reversal of 430461254404064 is 460404452164034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430461254404061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306111392 + ... + 307514400.

It is an arithmetic number, because the mean of its divisors is an integer number (19013802673005).

Almost surely, 2430461254404064 is an apocalyptic number.

It is an amenable number.

430461254404064 is an abundant number, since it is smaller than the sum of its proper divisors (482201273900176).

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

430461254404064 is a wasteful number, since it uses less digits than its factorization.

430461254404064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140563 (or 2140555 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 47.

The spelling of 430461254404064 in words is "four hundred thirty trillion, four hundred sixty-one billion, two hundred fifty-four million, four hundred four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 737531 1403009 1475062 2806018 2950124 5612036 5900248 9587903 11224072 11800496 18239117 19175806 22448144 23600992 36478234 38351612 44896288 72956468 76703224 145912936 153406448 291825872 306812896 583651744 1034762630779 2069525261558 4139050523116 8278101046232 13451914200127 16556202092464 26903828400254 33112404184928 53807656800508 107615313601016 215230627202032 430461254404064