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454332219608768 = 26192117192462797
BaseRepresentation
bin110011101001101100111011…
…0100011110100111011000000
32012120122201212112220211011012
41213103121312203310323000
5434022234341204440033
64250141201301340052
7164461263640426544
oct14723316643647300
92176581775824135
10454332219608768
11121845237609596
1242b58765107628
1316668462a68ac7
148029b22441a24
15377d354d23248
hex19d36768f4ec0

454332219608768 has 112 divisors (see below), whose sum is σ = 954840576268800. Its totient is φ = 213892059386880.

The previous prime is 454332219608747. The next prime is 454332219608779. The reversal of 454332219608768 is 867806912233454.

It is a junction number, because it is equal to n+sod(n) for n = 454332219608698 and 454332219608707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183246746 + ... + 185709542.

It is a 2-persistent number, because it is pandigital, and so is 2⋅454332219608768 = 908664439217536, but 3⋅454332219608768 = 1362996658826304 is not.

Almost surely, 2454332219608768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454332219608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477420288134400).

454332219608768 is an abundant number, since it is smaller than the sum of its proper divisors (500508356660032).

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

454332219608768 is a wasteful number, since it uses less digits than its factorization.

454332219608768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463758 (or 2463748 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 68.

The spelling of 454332219608768 in words is "four hundred fifty-four trillion, three hundred thirty-two billion, two hundred nineteen million, six hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 211 304 422 608 719 844 1216 1438 1688 2876 3376 4009 5752 6752 8018 11504 13504 13661 16036 23008 27322 32072 46016 54644 64144 109288 128288 151709 218576 256576 303418 437152 606836 874304 1213672 2427344 2462797 2882471 4854688 4925594 5764942 9709376 9851188 11529884 19702376 23059768 39404752 46119536 46793143 78809504 92239072 93586286 157619008 184478144 187172572 374345144 519650167 748690288 1039300334 1497380576 1770751043 2078600668 2994761152 3541502086 4157201336 7083004172 8314402672 9873353173 14166008344 16628805344 19746706346 28332016688 33257610688 33644269817 39493412692 56664033376 67288539634 78986825384 113328066752 134577079268 157973650768 269154158536 315947301536 373628470073 538308317072 631894603072 747256940146 1076616634144 1494513880292 2153233268288 2989027760584 5978055521168 7098940931387 11956111042336 14197881862774 23912222084672 28395763725548 56791527451096 113583054902192 227166109804384 454332219608768