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1056150846864 = 2434285472
BaseRepresentation
bin11110101111001110111…
…11101111110110010000
310201222002222010222210000
433113213133233312100
5114300444104044424
62125104454010000
7136206255034641
oct17274737576620
93658088128700
101056150846864
11377a0268a263
12150832946900
137879643b809
1439191a116c8
151c7160de3c9
hexf5e77efd90

1056150846864 has 75 divisors (see below), whose sum is σ = 3056914048507. Its totient is φ = 352037949984.

The previous prime is 1056150846847. The next prime is 1056150846887. The reversal of 1056150846864 is 4686480516501.

It is a happy number.

The square root of 1056150846864 is 1027692.

It is a perfect power (a square), and thus also a powerful number.

1056150846864 is a `hidden beast` number, since 1 + 0 + 56 + 1 + 508 + 4 + 6 + 86 + 4 = 666.

It is a super-2 number, since 2×10561508468642 (a number of 25 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1056150846864.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 36982639 + ... + 37011185.

Almost surely, 21056150846864 is an apocalyptic number.

1056150846864 is the 1027692-nd square number.

It is an amenable number.

1056150846864 is an abundant number, since it is smaller than the sum of its proper divisors (2000763201643).

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

1056150846864 is an frugal number, since it uses more digits than its factorization.

1056150846864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57114 (or 28552 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 1056150846864 in words is "one trillion, fifty-six billion, one hundred fifty million, eight hundred forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 28547 57094 85641 114188 171282 228376 256923 342564 456752 513846 685128 770769 1027692 1370256 1541538 2055384 2312307 3083076 4110768 4624614 6166152 9249228 12332304 18498456 36996912 814931209 1629862418 2444793627 3259724836 4889587254 6519449672 7334380881 9779174508 13038899344 14668761762 19558349016 22003142643 29337523524 39116698032 44006285286 58675047048 66009427929 88012570572 117350094096 132018855858 176025141144 264037711716 352050282288 528075423432 1056150846864