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30625054880 = 255726164037
BaseRepresentation
bin11100100001011001…
…010100000010100000
32221001022102222110212
4130201121110002200
51000210003224010
622022521113252
72132626446200
oct344131240240
987038388425
1030625054880
1111a96055012
125b28328828
132b70a23b64
1416a7474400
15be3945505
hex7216540a0

30625054880 has 144 divisors (see below), whose sum is σ = 85545290376. Its totient is φ = 10327726080.

The previous prime is 30625054849. The next prime is 30625054909. The reversal of 30625054880 is 8845052603.

It can be written as a sum of positive squares in 4 ways, for example, as 6588893584 + 24036161296 = 81172^2 + 155036^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446222 + ... + 510258.

Almost surely, 230625054880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30625054880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42772645188).

30625054880 is an abundant number, since it is smaller than the sum of its proper divisors (54920235496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30625054880 is a wasteful number, since it uses less digits than its factorization.

30625054880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64127 (or 64112 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 30625054880 in words is "thirty billion, six hundred twenty-five million, fifty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 61 70 80 98 112 122 140 160 196 224 244 245 280 305 392 427 488 490 560 610 784 854 976 980 1120 1220 1568 1708 1952 1960 2135 2440 2989 3416 3920 4270 4880 5978 6832 7840 8540 9760 11956 13664 14945 17080 23912 29890 34160 47824 59780 64037 68320 95648 119560 128074 239120 256148 320185 448259 478240 512296 640370 896518 1024592 1280740 1793036 2049184 2241295 2561480 3137813 3586072 3906257 4482590 5122960 6275626 7172144 7812514 8965180 10245920 12551252 14344288 15625028 15689065 17930360 19531285 25102504 27343799 31250056 31378130 35860720 39062570 50205008 54687598 62500112 62756260 71721440 78125140 100410016 109375196 125000224 125512520 136718995 156250280 191406593 218750392 251025040 273437990 312500560 382813186 437500784 502050080 546875980 625001120 765626372 875001568 957032965 1093751960 1531252744 1914065930 2187503920 3062505488 3828131860 4375007840 6125010976 7656263720 15312527440 30625054880