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10304147724 = 22313113659887
BaseRepresentation
bin10011001100010110…
…01101000100001100
3222121010001221100220
421212023031010030
5132100330211344
64422245351340
7513226545003
oct114613150414
928533057326
1010304147724
114408471772
121bb6a08550
13c82a0b140
146da6d5c3a
1540493ac19
hex2662cd10c

10304147724 has 96 divisors (see below), whose sum is σ = 26190743040. Its totient is φ = 3134143488.

The previous prime is 10304147717. The next prime is 10304147741. The reversal of 10304147724 is 42774140301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11616409 + ... + 11617295.

It is an arithmetic number, because the mean of its divisors is an integer number (272820240).

Almost surely, 210304147724 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 10304147724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13095371520).

10304147724 is an abundant number, since it is smaller than the sum of its proper divisors (15886595316).

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

10304147724 is a wasteful number, since it uses less digits than its factorization.

10304147724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 10304147724 in words is "ten billion, three hundred four million, one hundred forty-seven thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 113 156 226 339 452 659 678 887 1318 1356 1469 1774 1977 2636 2661 2938 3548 3954 4407 5322 5876 7908 8567 8814 10644 11531 17134 17628 23062 25701 34268 34593 46124 51402 69186 74467 100231 102804 138372 148934 200462 223401 297868 300693 400924 446802 584533 601386 893604 968071 1169066 1202772 1303003 1753599 1936142 2338132 2606006 2904213 3507198 3872284 3909009 5212012 5808426 7014396 7598929 7818018 11616852 15197858 15636036 22796787 30395716 45593574 66052229 91187148 132104458 198156687 264208916 396313374 792626748 858678977 1717357954 2576036931 3434715908 5152073862 10304147724