Search a number
-
+
728162245345 = 537157109322937
BaseRepresentation
bin10101001100010011101…
…10100001101011100001
32120121111212201200122211
422212021312201223201
543412234013322340
61314302500002121
7103415352651043
oct12461166415341
92517455650584
10728162245345
112608a2671427
12b9158090341
1353885b83442
1427359649a93
1513e1b6bb5ea
hexa989da1ae1

728162245345 has 32 divisors (see below), whose sum is σ = 903992452128. Its totient is φ = 562635859968.

The previous prime is 728162245339. The next prime is 728162245351. The reversal of 728162245345 is 543542261827.

It is an interprime number because it is at equal distance from previous prime (728162245339) and next prime (728162245351).

It can be written as a sum of positive squares in 16 ways, for example, as 14907677409 + 713254567936 = 122097^2 + 844544^2 .

It is a cyclic number.

It is not a de Polignac number, because 728162245345 - 23 = 728162245337 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31734717 + ... + 31757653.

It is an arithmetic number, because the mean of its divisors is an integer number (28249764129).

Almost surely, 2728162245345 is an apocalyptic number.

It is an amenable number.

728162245345 is a deficient number, since it is larger than the sum of its proper divisors (175830206783).

728162245345 is a wasteful number, since it uses less digits than its factorization.

728162245345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24229.

The product of its digits is 3225600, while the sum is 49.

The spelling of 728162245345 in words is "seven hundred twenty-eight billion, one hundred sixty-two million, two hundred forty-five thousand, three hundred forty-five".

Divisors: 1 5 37 157 185 785 1093 5465 5809 22937 29045 40441 114685 171601 202205 848669 858005 3601109 4243345 6349237 18005545 25070141 31746185 125350705 133241033 666205165 927595217 3936012137 4637976085 19680060685 145632449069 728162245345