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30725599424 = 2613415691583
BaseRepresentation
bin11100100111011000…
…110111000011000000
32221022022122011122212
4130213120313003000
51000411223140144
622040512121252
72135260200032
oct344730670300
987268564585
1030725599424
1112037888683
125b55b36228
132b887c8480
1416b6967c52
15bec6a649e
hex7276370c0

30725599424 has 112 divisors (see below), whose sum is σ = 67423466880. Its totient is φ = 13802127360.

The previous prime is 30725599369. The next prime is 30725599427. The reversal of 30725599424 is 42499552703.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30725599427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19408937 + ... + 19410519.

It is an arithmetic number, because the mean of its divisors is an integer number (601995240).

Almost surely, 230725599424 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 30725599424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33711733440).

30725599424 is an abundant number, since it is smaller than the sum of its proper divisors (36697867456).

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

30725599424 is a wasteful number, since it uses less digits than its factorization.

30725599424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 30725599424 in words is "thirty billion, seven hundred twenty-five million, five hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 416 533 569 656 832 1066 1138 1312 1583 2132 2276 2624 3166 4264 4552 6332 7397 8528 9104 12664 14794 17056 18208 20579 23329 25328 29588 34112 36416 41158 46658 50656 59176 64903 82316 93316 101312 118352 129806 164632 186632 236704 259612 303277 329264 373264 473408 519224 606554 658528 746528 843739 900727 1038448 1213108 1317056 1493056 1687478 1801454 2076896 2426216 3374956 3602908 4153792 4852432 6749912 7205816 9704864 11709451 13499824 14411632 19409728 23418902 26999648 28823264 36929807 46837804 53999296 57646528 73859614 93675608 147719228 187351216 295438456 374702432 480087491 590876912 749404864 960174982 1181753824 1920349964 2363507648 3840699928 7681399856 15362799712 30725599424