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3288047055664 = 2472137151202733
BaseRepresentation
bin101111110110001110111…
…000000111001100110000
3102122100000122121211002011
4233312032320013030300
5412332410021240124
610554301415332304
7456360604555300
oct57661670071460
912570018554064
103288047055664
1110584a8930a88
124512b4381094
131ab0a5191187
14b51dc789600
155a7e2879994
hex2fd8ee07330

3288047055664 has 120 divisors (see below), whose sum is σ = 7514252994528. Its totient is φ = 1389606220800.

The previous prime is 3288047055599. The next prime is 3288047055703. The reversal of 3288047055664 is 4665507408823.

It is a super-2 number, since 2×32880470556642 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3288047055599 and 3288047055608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16117242 + ... + 16319974.

Almost surely, 23288047055664 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 3288047055664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757126497264).

3288047055664 is an abundant number, since it is smaller than the sum of its proper divisors (4226205938864).

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

3288047055664 is a wasteful number, since it uses less digits than its factorization.

3288047055664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203043 (or 203030 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 58.

The spelling of 3288047055664 in words is "three trillion, two hundred eighty-eight billion, forty-seven million, fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 137 151 196 274 302 392 548 604 784 959 1057 1096 1208 1918 2114 2192 2416 3836 4228 6713 7399 7672 8456 13426 14798 15344 16912 20687 26852 29596 41374 53704 59192 82748 107408 118384 144809 165496 202733 289618 330992 405466 579236 810932 1013663 1158472 1419131 1621864 2027326 2316944 2838262 3243728 4054652 5676524 8109304 9933917 11353048 16218608 19867834 22706096 27774421 30612683 39735668 55548842 61225366 79471336 111097684 122450732 158942672 194420947 214288781 222195368 244901464 388841894 428577562 444390736 489802928 777683788 857155124 1360946629 1500021467 1555367576 1714310248 2721893258 3000042934 3110735152 3428620496 4193937571 5443786516 6000085868 8387875142 10887573032 12000171736 16775750284 21775146064 24000343472 29357562997 33551500568 58715125994 67103001136 117430251988 205502940979 234860503976 411005881958 469721007952 822011763916 1644023527832 3288047055664