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5030263980625 = 541326721032
BaseRepresentation
bin100100100110011001100…
…0110010000001001010001
3122210212222202010122010111
41021030303012100021101
51124403440034340000
614410512114401321
71026265426231612
oct111146306201121
918725882118114
105030263980625
11166a3609730a4
12692a95290241
132a6476055400
14135674ca9c09
158acae5e1cba
hex49333190251

5030263980625 has 135 divisors (see below), whose sum is σ = 6977378089143. Its totient is φ = 3623687496000.

The previous prime is 5030263980617. The next prime is 5030263980649. The reversal of 5030263980625 is 5260893620305.

It is a happy number.

The square root of 5030263980625 is 2242825.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4968543534529 + 61720446096 = 2229023^2 + 248436^2 .

It is not a de Polignac number, because 5030263980625 - 23 = 5030263980617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 48837514324 + ... + 48837514426.

Almost surely, 25030263980625 is an apocalyptic number.

5030263980625 is the 2242825-th square number.

5030263980625 is the 1121413-rd centered octagonal number.

It is an amenable number.

5030263980625 is a deficient number, since it is larger than the sum of its proper divisors (1947114108518).

5030263980625 is an frugal number, since it uses more digits than its factorization.

5030263980625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 49.

Multiplying 5030263980625 by its sum of digits (49), we get a square (246482935050625 = 156997752).

The spelling of 5030263980625 in words is "five trillion, thirty billion, two hundred sixty-three million, nine hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 67 103 125 169 325 335 515 625 845 871 1339 1625 1675 2575 4225 4355 4489 6695 6901 8125 8375 10609 11323 12875 17407 21125 21775 22445 33475 34505 41875 53045 56615 58357 64375 87035 89713 105625 108875 112225 137917 167375 172525 265225 283075 291785 435175 448565 462367 544375 561125 689585 710803 758641 836875 862625 1166269 1326125 1415375 1458925 1792921 2175875 2242825 2311835 2805625 3447925 3554015 3793205 4313125 5831345 6010771 6630625 7076875 7294625 8964605 9240439 10879375 11214125 11559175 17239625 17770075 18966025 29156725 30053855 36473125 44823025 46202195 47623801 56070625 57795875 78140023 86198125 88850375 94830125 120125707 145783625 150269275 224115125 231010975 238119005 288979375 390700115 444251875 474150625 600628535 619109413 728918125 751346375 1120575625 1155054875 1190595025 1953500575 3003142675 3095547065 3756731875 5775274375 5952975125 8048422369 9767502875 15015713375 15477735325 29764875625 40242111845 48837514375 75078566875 77388676625 201210559225 386943383125 1006052796125 5030263980625