Search a number
-
+
5157145774225 = 5271263972
BaseRepresentation
bin100101100001011110111…
…0101111000100010010001
3200021000111100121120201101
41023002331311320202101
51133443313304233400
614545054323504401
71041406610542324
oct113027565704221
920230440546641
105157145774225
111709151385645
126b35a5828101
132b5416bc8ca3
1413b87019c7bb
158e23881256a
hex4b0bdd78891

5157145774225 has 27 divisors (see below), whose sum is σ = 6487211893521. Its totient is φ = 4066972072800.

The previous prime is 5157145774141. The next prime is 5157145774279. The reversal of 5157145774225 is 5224775417515.

The square root of 5157145774225 is 2270935.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2853744625809 + 2303401148416 = 1689303^2 + 1517696^2 .

It is a de Polignac number, because none of the positive numbers 2k-5157145774225 is a prime.

It is a Duffinian number.

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, 806178727 + ... + 806185123.

Almost surely, 25157145774225 is an apocalyptic number.

5157145774225 is the 2270935-th square number.

5157145774225 is the 1135468-th centered octagonal number.

It is an amenable number.

5157145774225 is a deficient number, since it is larger than the sum of its proper divisors (1330066119296).

5157145774225 is an frugal number, since it uses more digits than its factorization.

5157145774225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12946 (or 6473 counting only the distinct ones).

The product of its digits is 13720000, while the sum is 55.

The spelling of 5157145774225 in words is "five trillion, one hundred fifty-seven billion, one hundred forty-five million, seven hundred seventy-four thousand, two hundred twenty-five".

Divisors: 1 5 25 71 355 1775 5041 6397 25205 31985 126025 159925 454187 2270935 11354675 32247277 40921609 161236385 204608045 806181925 1023040225 2905434239 14527171195 72635855975 206285830969 1031429154845 5157145774225