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1056564526556 = 2271122801111337
BaseRepresentation
bin11110110000000000010…
…01110011110111011100
310202000011210120002122002
433120000021303313130
5114302321004322211
62125213512341432
7136222440203120
oct17300011636734
93660153502562
101056564526556
113780a5148a00
121509293a4878
137883105c7b6
14391d0937580
151c73c5a603b
hexf600273ddc

1056564526556 has 72 divisors (see below), whose sum is σ = 2323545678048. Its totient is φ = 411497856000.

The previous prime is 1056564526547. The next prime is 1056564526571. The reversal of 1056564526556 is 6556254656501.

1056564526556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10565645265562 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 9434120 + ... + 9545456.

Almost surely, 21056564526556 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 1056564526556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161772839024).

1056564526556 is an abundant number, since it is smaller than the sum of its proper divisors (1266981151492).

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

1056564526556 is a wasteful number, since it uses less digits than its factorization.

1056564526556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114171 (or 114158 counting only the distinct ones).

The product of its (nonzero) digits is 32400000, while the sum is 56.

The spelling of 1056564526556 in words is "one trillion, fifty-six billion, five hundred sixty-four million, five hundred twenty-six thousand, five hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 847 1694 2801 3388 5602 11204 19607 30811 39214 61622 78428 111337 123244 215677 222674 338921 431354 445348 677842 779359 862708 1224707 1355684 1558718 2372447 2449414 3117436 4744894 4898828 8572949 9489788 13471777 17145898 26943554 34291796 53887108 94302439 188604878 311854937 377209756 623709874 1247419748 2182984559 3430404307 4365969118 6860808614 8731938236 13721617228 24012830149 37734447377 48025660298 75468894754 96051320596 150937789508 264141131639 528282263278 1056564526556