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1060106060556 = 2233131466316069
BaseRepresentation
bin11110110110100110011…
…11101100001100001100
310202100022121120122222000
433123103033230030030
5114332044122414211
62131001143552300
7136406262560124
oct17332317541414
93670277518860
101060106060556
11379652263904
1215155745b690
1378c769abc4a
1439449027c84
151c898469656
hexf6d33ec30c

1060106060556 has 96 divisors (see below), whose sum is σ = 2770169740800. Its totient is φ = 350574194880.

The previous prime is 1060106060501. The next prime is 1060106060593. The reversal of 1060106060556 is 6550606010601.

It is a super-2 number, since 2×10601060605562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1060106060556.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65964090 + ... + 65980158.

It is an arithmetic number, because the mean of its divisors is an integer number (28855934800).

Almost surely, 21060106060556 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 1060106060556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385084870400).

1060106060556 is an abundant number, since it is smaller than the sum of its proper divisors (1710063680244).

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

1060106060556 is a wasteful number, since it uses less digits than its factorization.

1060106060556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20876 (or 20868 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1060106060556 in words is "one trillion, sixty billion, one hundred six million, sixty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3537 4663 4716 7074 9326 13989 14148 16069 18652 27978 32138 41967 48207 55956 64276 83934 96414 125901 144621 167868 192828 251802 289242 433863 503604 578484 610853 867726 1221706 1735452 1832559 2105039 2443412 3665118 4210078 5497677 6315117 7330236 8420156 10995354 12630234 16493031 18945351 21990708 25260468 32986062 37890702 56836053 65972124 74929747 75781404 113672106 149859494 224789241 227344212 299718988 449578482 674367723 899156964 1348735446 2023103169 2697470892 4046206338 8092412676 9815796857 19631593714 29447390571 39263187428 58894781142 88342171713 117789562284 176684343426 265026515139 353368686852 530053030278 1060106060556