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7980563556 = 2234727092
BaseRepresentation
bin1110110111010110…
…11011110001100100
3202121011211122010000
413123223123301210
5112321011013211
63355523101300
7401523446100
oct73353336144
922534748100
107980563556
113425902579
121668811830
139a24c9374
14559c88900
1531a95b656
hex1dbadbc64

7980563556 has 135 divisors (see below), whose sum is σ = 24303214089. Its totient is φ = 2276944992.

The previous prime is 7980563477. The next prime is 7980563573. The reversal of 7980563556 is 6553650897.

The square root of 7980563556 is 89334.

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

7980563556 is a `hidden beast` number, since 7 + 9 + 80 + 5 + 6 + 3 + 556 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1064977956 + 6915585600 = 32634^2 + 83160^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11255730 + ... + 11256438.

Almost surely, 27980563556 is an apocalyptic number.

7980563556 is the 89334-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7980563556

7980563556 is an abundant number, since it is smaller than the sum of its proper divisors (16322650533).

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

7980563556 is an equidigital number, since it uses as much as digits as its factorization.

7980563556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The cubic root of 7980563556 is about 1998.3789828400.

It can be divided in two parts, 7980 and 563556, that added together give a square (571536 = 7562).

The spelling of 7980563556 in words is "seven billion, nine hundred eighty million, five hundred sixty-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 709 756 882 1134 1323 1418 1764 2127 2268 2646 2836 3969 4254 4963 5292 6381 7938 8508 9926 12762 14889 15876 19143 19852 25524 29778 34741 38286 44667 57429 59556 69482 76572 89334 104223 114858 134001 138964 178668 208446 229716 268002 312669 402003 416892 502681 536004 625338 804006 938007 1005362 1250676 1508043 1608012 1876014 2010724 2814021 3016086 3518767 3752028 4524129 5628042 6032172 7037534 9048258 10556301 11256084 13572387 14075068 18096516 21112602 24631369 27144774 31668903 40717161 42225204 49262738 54289548 63337806 73894107 81434322 95006709 98525476 126675612 147788214 162868644 190013418 221682321 285020127 295576428 380026836 443364642 570040254 665046963 886729284 1140080508 1330093926 1995140889 2660187852 3990281778 7980563556