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980943661476 = 223223271772
BaseRepresentation
bin11100100011001001100…
…11000110100110100100
310110202222122120010102100
432101210303012212210
5112032433034131401
62030350031012100
7130604461355532
oct16214463064644
93422878503370
10980943661476
1134901a13a799
1213a14406a030
137166c26389c
1435699605152
151a7b379db86
hexe464cc69a4

980943661476 has 81 divisors (see below), whose sum is σ = 2592465181761. Its totient is φ = 312721066944.

The previous prime is 980943661469. The next prime is 980943661483. The reversal of 980943661476 is 674166349089.

The square root of 980943661476 is 990426.

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

980943661476 is a `hidden beast` number, since 9 + 8 + 0 + 9 + 4 + 3 + 6 + 614 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (980943661469) and next prime (980943661483).

It can be written as a sum of positive squares in only one way, i.e., 915906420900 + 65037240576 = 957030^2 + 255024^2 .

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, 136675200 + ... + 136682376.

Almost surely, 2980943661476 is an apocalyptic number.

980943661476 is the 990426-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980943661476

980943661476 is an abundant number, since it is smaller than the sum of its proper divisors (1611521520285).

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

980943661476 is an equidigital number, since it uses as much as digits as its factorization.

980943661476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14410 (or 7205 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 980943661476 in words is "nine hundred eighty billion, nine hundred forty-three million, six hundred sixty-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 7177 9522 14354 19044 21531 28708 43062 64593 86124 129186 165071 258372 330142 495213 660284 990426 1485639 1980852 2971278 3796633 5942556 7593266 11389899 15186532 22779798 34169697 45559596 51509329 68339394 103018658 136678788 154527987 206037316 309055974 463583961 618111948 927167922 1184714567 1854335844 2369429134 3554143701 4738858268 7108287402 10662431103 14216574804 21324862206 27248435041 42649724412 54496870082 81745305123 108993740164 163490610246 245235915369 326981220492 490471830738 980943661476