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15920130625 = 54741032
BaseRepresentation
bin11101101001110100…
…11110101001000001
31112002111112102121121
432310322132221001
5230101023140000
611151423352241
71102341610000
oct166472365101
945074472547
1015920130625
11682a553853
123103752681
131669370449
14ab0500c37
156329bab1a
hex3b4e9ea41

15920130625 has 75 divisors (see below), whose sum is σ = 23435555253. Its totient is φ = 10810674000.

The previous prime is 15920130623. The next prime is 15920130643. The reversal of 15920130625 is 52603102951.

The square root of 15920130625 is 126175.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1248138241 + 14671992384 = 35329^2 + 121128^2 .

It is not a de Polignac number, because 15920130625 - 21 = 15920130623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15920130623) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 154564324 + ... + 154564426.

Almost surely, 215920130625 is an apocalyptic number.

15920130625 is the 126175-th square number.

15920130625 is the 63088-th centered octagonal number.

It is an amenable number.

15920130625 is a deficient number, since it is larger than the sum of its proper divisors (7515424628).

15920130625 is an frugal number, since it uses more digits than its factorization.

15920130625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

It can be divided in two parts, 159201 and 30625, that multiplied together give a square (4875530625 = 698252).

The spelling of 15920130625 in words is "fifteen billion, nine hundred twenty million, one hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 103 125 175 245 343 515 625 721 875 1225 1715 2401 2575 3605 4375 5047 6125 8575 10609 12005 12875 18025 25235 30625 35329 42875 53045 60025 64375 74263 90125 126175 176645 214375 247303 265225 300125 371315 450625 519841 630875 883225 1236515 1326125 1500625 1856575 2599205 3154375 3638887 4416125 6182575 6630625 9282875 12996025 18194435 22080625 25472209 30912875 46414375 64980125 90972175 127361045 154564375 324900625 454860875 636805225 2274304375 3184026125 15920130625