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1056056084876 = 2213192379111669
BaseRepresentation
bin11110101111000011101…
…10010000100110001100
310201221212100211120202202
433113201312100212030
5114300300324204001
62125051230541032
7136204024416632
oct17274166204614
93657770746682
101056056084876
11377964146171
12150807067778
137877c910230
14391831c5352
151c70cb2196b
hexf5e1d9098c

1056056084876 has 144 divisors (see below), whose sum is σ = 2160956165760. Its totient is φ = 448515325440.

The previous prime is 1056056084849. The next prime is 1056056084879. The reversal of 1056056084876 is 6784806506501.

1056056084876 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-3 number, since 3×10560560848763 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1056056084879) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632746970 + ... + 632748638.

It is an arithmetic number, because the mean of its divisors is an integer number (15006640040).

Almost surely, 21056056084876 is an apocalyptic number.

It is an amenable number.

1056056084876 is an abundant number, since it is smaller than the sum of its proper divisors (1104900080884).

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

1056056084876 is a wasteful number, since it uses less digits than its factorization.

1056056084876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 1056056084876 in words is "one trillion, fifty-six billion, fifty-six million, eighty-four thousand, eight hundred seventy-six".

Divisors: 1 2 4 13 19 26 37 38 52 74 76 148 247 361 481 494 703 722 911 962 988 1406 1444 1669 1822 1924 2812 3338 3644 4693 6676 9139 9386 11843 13357 17309 18278 18772 21697 23686 26714 31711 33707 34618 36556 43394 47372 53428 61753 63422 67414 69236 86788 123506 126844 134828 173641 225017 247012 328871 347282 412243 438191 450034 602509 640433 657742 694564 802789 824486 876382 900068 1173307 1205018 1280866 1315484 1520459 1605578 1648972 1752764 2346614 2410036 2561732 3040918 3211156 4275323 4693228 6081836 7832617 8325629 8550646 12168227 15252991 15665234 16651258 17101292 19765967 22292833 24336454 28888721 30505982 31330468 33302516 39531934 44585666 48672908 56256983 57777442 61011964 79063868 89171332 112513966 115554884 158186951 225027932 289806829 316373902 375553373 548885699 579613658 632747804 731340779 751106746 1068882677 1097771398 1159227316 1462681558 1502213492 2137765354 2195542796 2925363116 4275530708 7135514087 13895474801 14271028174 20308770863 27790949602 28542056348 40617541726 55581899204 81235083452 264014021219 528028042438 1056056084876