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1056630724716 = 2237233531549321
BaseRepresentation
bin11110110000001000001…
…10010101100001101100
310202000100102010022102210
433120010012111201230
5114302434431142331
62125224235250420
7136224202653510
oct17300406254154
93660312108383
101056630724716
11378129552626
121509475a9a10
13788419999c8
14391d964a140
151c7432d0446
hexf60419586c

1056630724716 has 96 divisors (see below), whose sum is σ = 2948520895488. Its totient is φ = 287950417920.

The previous prime is 1056630724711. The next prime is 1056630724753. The reversal of 1056630724716 is 6174270366501.

It is a happy number.

It is a super-2 number, since 2×10566307247162 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056630724711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92665 + ... + 1456656.

It is an arithmetic number, because the mean of its divisors is an integer number (30713759328).

Almost surely, 21056630724716 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 1056630724716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474260447744).

1056630724716 is an abundant number, since it is smaller than the sum of its proper divisors (1891890170772).

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

1056630724716 is a wasteful number, since it uses less digits than its factorization.

1056630724716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549711 (or 1549709 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 1056630724716 in words is "one trillion, fifty-six billion, six hundred thirty million, seven hundred twenty-four thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 353 483 644 706 966 1059 1412 1932 2118 2471 4236 4942 7413 8119 9884 14826 16238 24357 29652 32476 48714 56833 97428 113666 170499 227332 340998 681996 1549321 3098642 4647963 6197284 9295926 10845247 18591852 21690494 32535741 35634383 43380988 65071482 71268766 106903149 130142964 142537532 213806298 249440681 427612596 498881362 546910313 748322043 997762724 1093820626 1496644086 1640730939 2187641252 2993288172 3281461878 3828372191 6562923756 7656744382 11485116573 12578937199 15313488764 22970233146 25157874398 37736811597 45940466292 50315748796 75473623194 88052560393 150947246388 176105120786 264157681179 352210241572 528315362358 1056630724716