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2056671492100 = 225261223512
BaseRepresentation
bin11101111011011011001…
…011000111100000000100
321021121121222020221020221
4131323123023013200010
5232144030400221400
64212453303434124
7301406144145061
oct35733313074004
97247558227227
102056671492100
11723258492675
1229271b155944
1311bc3553a454
1471787265c68
15387733eac1a
hex1dedb2c7804

2056671492100 has 81 divisors (see below), whose sum is σ = 4539270882783. Its totient is φ = 808838040000.

The previous prime is 2056671492089. The next prime is 2056671492107. The reversal of 2056671492100 is 12941766502.

The square root of 2056671492100 is 1434110.

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 947340142596 + 1109331349504 = 973314^2 + 1053248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2056671492107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 874805925 + ... + 874808275.

Almost surely, 22056671492100 is an apocalyptic number.

2056671492100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2056671492100 is the 1434110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056671492100

2056671492100 is an abundant number, since it is smaller than the sum of its proper divisors (2482599390683).

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

2056671492100 is an frugal number, since it uses more digits than its factorization.

2056671492100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 2056671492100 in words is "two trillion, fifty-six billion, six hundred seventy-one million, four hundred ninety-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 2351 3050 3721 4702 6100 7442 9404 11755 14884 18605 23510 37210 47020 58775 74420 93025 117550 143411 186050 235100 286822 372100 573644 717055 1434110 2868220 3585275 5527201 7170550 8748071 11054402 14341100 17496142 22108804 27636005 34992284 43740355 55272010 87480710 110544020 138180025 174961420 218701775 276360050 337159261 437403550 552720100 674318522 874807100 1348637044 1685796305 3371592610 6743185220 8428981525 16857963050 20566714921 33715926100 41133429842 82266859684 102833574605 205667149210 411334298420 514167873025 1028335746050 2056671492100