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4152082727556 = 223247927092
BaseRepresentation
bin111100011010111011011…
…010101000001010000100
3112200221020210011201220100
4330122323122220022010
51021011431134240211
612455235050404100
7605656323602301
oct74327332501204
915627223151810
104152082727556
111360985500865
12570850130630
132417029c8c5a
14104d675620a8
157301283e156
hex3c6bb6a8284

4152082727556 has 81 divisors (see below), whose sum is σ = 10532354752101. Its totient is φ = 1379190156768.

The previous prime is 4152082727491. The next prime is 4152082727647. The reversal of 4152082727556 is 6557272802514.

It is a happy number.

The square root of 4152082727556 is 2037666.

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

4152082727556 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 0 + 82 + 7 + 2 + 7 + 556 = 666.

It can be written as a sum of positive squares in only one way, i.e., 554080741956 + 3598001985600 = 744366^2 + 1896840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5856251730 + ... + 5856252438.

Almost surely, 24152082727556 is an apocalyptic number.

4152082727556 is the 2037666-th square number.

It is an amenable number.

4152082727556 is an abundant number, since it is smaller than the sum of its proper divisors (6380272024545).

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

4152082727556 is an frugal number, since it uses more digits than its factorization.

4152082727556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 4152082727556 in words is "four trillion, one hundred fifty-two billion, eighty-two million, seven hundred twenty-seven thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 479 709 958 1418 1437 1916 2127 2836 2874 4254 4311 5748 6381 8508 8622 12762 17244 25524 229441 339611 458882 502681 679222 688323 917764 1005362 1018833 1358444 1376646 1508043 2010724 2037666 2064969 2753292 3016086 3056499 4075332 4129938 4524129 6032172 6112998 8259876 9048258 12225996 18096516 162673669 240784199 325347338 481568398 488021007 650694676 722352597 963136796 976042014 1444705194 1464063021 1952084028 2167057791 2889410388 2928126042 4334115582 5856252084 8668231164 115335631321 230671262642 346006893963 461342525284 692013787926 1038020681889 1384027575852 2076041363778 4152082727556