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625160630241 = 327223216372
BaseRepresentation
bin10010001100011100111…
…10100010111111100001
32012202122112000111120100
421012032132202333201
540220312110131431
61155110025533013
763111030452100
oct11061636427741
92182575014510
10625160630241
11221146972494
12a11b1044169
1346c4c5452b4
1422387ac2037
15113ddbbe4e6
hex918e7a2fe1

625160630241 has 81 divisors (see below), whose sum is σ = 1098768190611. Its totient is φ = 341493967584.

The previous prime is 625160630239. The next prime is 625160630243. The reversal of 625160630241 is 142036061526.

The square root of 625160630241 is 790671.

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

625160630241 is a `hidden beast` number, since 6 + 2 + 5 + 1 + 606 + 3 + 0 + 2 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (625160630239) and next prime (625160630243).

It can be written as a sum of positive squares in only one way, i.e., 18948899025 + 606211731216 = 137655^2 + 778596^2 .

It is not a de Polignac number, because 625160630241 - 21 = 625160630239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 625160630196 and 625160630205.

It is not an unprimeable number, because it can be changed into a prime (625160630243) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 381893275 + ... + 381894911.

Almost surely, 2625160630241 is an apocalyptic number.

625160630241 is the 790671-st square number.

625160630241 is the 395336-th centered octagonal number.

It is an amenable number.

625160630241 is a deficient number, since it is larger than the sum of its proper divisors (473607560370).

625160630241 is an equidigital number, since it uses as much as digits as its factorization.

625160630241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 625160630241 by its sum of digits (36), we get a square (22505782688676 = 47440262).

Adding to 625160630241 its reverse (142036061526), we get a palindrome (767196691767).

The spelling of 625160630241 in words is "six hundred twenty-five billion, one hundred sixty million, six hundred thirty thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 441 483 529 1127 1449 1587 1637 3381 3703 4761 4911 10143 11109 11459 14733 25921 33327 34377 37651 77763 80213 103131 112953 233289 240639 263557 338859 721917 790671 865973 1844899 2372013 2597919 2679769 5534697 6061811 7793757 8039307 16604091 18185433 18758383 24117921 42432677 54556299 56275149 61634687 127298031 131308681 168825447 184904061 381894093 393926043 431442809 554712183 1181778129 1294328427 1417597801 3020099663 3882985281 4252793403 9060298989 9923184607 12758380209 27180896967 29769553821 69462292249 89308661463 208386876747 625160630241