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1051806131776 = 2617275412
BaseRepresentation
bin11110100111001001000…
…01111110011001000000
310201112220011210121010101
433103210201332121000
5114213044332204101
62123105411412144
7135663510415051
oct17234441763100
93645804717111
101051806131776
11376083160534
1214ba1b8b4054
137825329459a
1438c9c9a8728
151c55e976401
hexf4e487e640

1051806131776 has 63 divisors (see below), whose sum is σ = 2217469080547. Its totient is φ = 494901954560.

The previous prime is 1051806131773. The next prime is 1051806131821. The reversal of 1051806131776 is 6771316081501.

The square root of 1051806131776 is 1025576.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22344270400 + 1029461861376 = 149480^2 + 1014624^2 .

It is a super-2 number, since 2×10518061317762 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1051806131773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 139474566 + ... + 139482106.

Almost surely, 21051806131776 is an apocalyptic number.

1051806131776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1051806131776 is the 1025576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051806131776

1051806131776 is an abundant number, since it is smaller than the sum of its proper divisors (1165662948771).

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

1051806131776 is an frugal number, since it uses more digits than its factorization.

1051806131776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15128 (or 7560 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 46.

The spelling of 1051806131776 in words is "one trillion, fifty-one billion, eight hundred six million, one hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 7541 9248 15082 18496 30164 60328 120656 128197 241312 256394 482624 512788 1025576 2051152 2179349 4102304 4358698 8204608 8717396 17434792 34869584 56866681 69739168 113733362 139478336 227466724 454933448 909866896 966733577 1819733792 1933467154 3639467584 3866934308 7733868616 15467737232 16434470809 30935474464 32868941618 61870948928 65737883236 131475766472 262951532944 525903065888 1051806131776