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27960521796 = 2232292314
BaseRepresentation
bin11010000010100100…
…111011010001000100
32200011121122200020100
4122002210323101010
5424230343144141
620502255004100
72006613341154
oct320244732104
980147580210
1027960521796
1110948a92959
125503b09630
1328379a786c
1414d3634764
15ad9a690b6
hex68293b444

27960521796 has 135 divisors (see below), whose sum is σ = 75639168605. Its totient is φ = 8708505120.

The previous prime is 27960521783. The next prime is 27960521819. The reversal of 27960521796 is 69712506972.

The square root of 27960521796 is 167214.

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

27960521796 is a `hidden beast` number, since 2 + 7 + 9 + 605 + 21 + 7 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14661819396 + 13298702400 = 121086^2 + 115320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 901952301 + ... + 901952331.

Almost surely, 227960521796 is an apocalyptic number.

27960521796 is the 167214-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27960521796

27960521796 is an abundant number, since it is smaller than the sum of its proper divisors (47678646809).

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

27960521796 is an frugal number, since it uses more digits than its factorization.

27960521796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

It can be divided in two parts, 279605 and 21796, that added together give a square (301401 = 5492).

The spelling of 27960521796 in words is "twenty-seven billion, nine hundred sixty million, five hundred twenty-one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 841 899 961 1044 1116 1682 1798 1922 2523 2697 2883 3364 3596 3844 5046 5394 5766 7569 8091 8649 10092 10788 11532 15138 16182 17298 26071 27869 29791 30276 32364 34596 52142 55738 59582 78213 83607 89373 104284 111476 119164 156426 167214 178746 234639 250821 268119 312852 334428 357492 469278 501642 536238 808201 863939 923521 938556 1003284 1072476 1616402 1727878 1847042 2424603 2591817 2770563 3232804 3455756 3694084 4849206 5183634 5541126 7273809 7775451 8311689 9698412 10367268 11082252 14547618 15550902 16623378 25054231 26782109 29095236 31101804 33246756 50108462 53564218 75162693 80346327 100216924 107128436 150325386 160692654 225488079 241038981 300650772 321385308 450976158 482077962 776681161 901952316 964155924 1553362322 2330043483 3106724644 4660086966 6990130449 9320173932 13980260898 27960521796