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45298607219776 = 26787210692
BaseRepresentation
bin10100100110010111001110…
…11001000110010001000000
312221101111121211012121012001
422103023213121012101000
521414133021422013101
6240201520505513344
712353500500225511
oct1223134731062100
9187344554177161
1045298607219776
1113485038930499
1250b720baa2854
131c37842a69101
14b28670010a08
155384c26d1901
hex2932e7646440

45298607219776 has 63 divisors (see below), whose sum is σ = 90088059786309. Its totient is φ = 22599363863808.

The previous prime is 45298607219773. The next prime is 45298607219791. The reversal of 45298607219776 is 67791270689254.

The square root of 45298607219776 is 6730424.

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

It can be written as a sum of positive squares in only one way, i.e., 21181864845376 + 24116742374400 = 4602376^2 + 4910880^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45298607219699 and 45298607219708.

It is not an unprimeable number, because it can be changed into a prime (45298607219773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42374748970 + ... + 42374750038.

Almost surely, 245298607219776 is an apocalyptic number.

45298607219776 is the 6730424-th square number.

It is an amenable number.

45298607219776 is a deficient number, since it is larger than the sum of its proper divisors (44789452566533).

45298607219776 is an frugal number, since it uses more digits than its factorization.

45298607219776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 73.

The spelling of 45298607219776 in words is "forty-five trillion, two hundred ninety-eight billion, six hundred seven million, two hundred nineteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 787 1069 1574 2138 3148 4276 6296 8552 12592 17104 25184 34208 50368 68416 619369 841303 1142761 1238738 1682606 2285522 2477476 3365212 4571044 4954952 6730424 9142088 9909904 13460848 18284176 19819808 26921696 36568352 39639616 53843392 73136704 662105461 899352907 1324210922 1798705814 2648421844 3597411628 5296843688 7194823256 10593687376 14389646512 21187374752 28779293024 42374749504 57558586048 707790737809 1415581475618 2831162951236 5662325902472 11324651804944 22649303609888 45298607219776