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4456764105152 = 264311231442087
BaseRepresentation
bin100000011011010101111…
…0101110110000111000000
3120210001200112221101102212
41000312223311312013000
51041004423102331102
613251224214001252
7636663524562062
oct100665365660700
916701615841385
104456764105152
111469115171367
125bb901346228
1326436a668278
141159cc305732
157ade5eb7c52
hex40dabd761c0

4456764105152 has 56 divisors (see below), whose sum is σ = 9057627824256. Its totient is φ = 2174619541248.

The previous prime is 4456764105149. The next prime is 4456764105163. The reversal of 4456764105152 is 2515014676544.

It is a self number, because there is not a number n which added to its sum of digits gives 4456764105152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2369453 + ... + 3811539.

Almost surely, 24456764105152 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 4456764105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528813912128).

4456764105152 is an abundant number, since it is smaller than the sum of its proper divisors (4600863719104).

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

4456764105152 is a wasteful number, since it uses less digits than its factorization.

4456764105152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443265 (or 1443255 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 50.

The spelling of 4456764105152 in words is "four trillion, four hundred fifty-six billion, seven hundred sixty-four million, one hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1123 1376 2246 2752 4492 8984 17968 35936 48289 71872 96578 193156 386312 772624 1442087 1545248 2884174 3090496 5768348 11536696 23073392 46146784 62009741 92293568 124019482 248038964 496077928 992155856 1619463701 1984311712 3238927402 3968623424 6477854804 12955709608 25911419216 51822838432 69636939143 103645676864 139273878286 278547756572 557095513144 1114191026288 2228382052576 4456764105152