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3005265012 = 2232943229877
BaseRepresentation
bin1011001100100000…
…1011010001110100
321202102221021120120
42303020023101310
522123321440022
61214113131540
7134321221401
oct26310132164
97672837516
103005265012
1113024370a2
126ba559bb0
1338b808b29
142071b72a8
15128c83d5c
hexb320b474

3005265012 has 96 divisors (see below), whose sum is σ = 7463702400. Its totient is φ = 939520512.

The previous prime is 3005264971. The next prime is 3005265037. The reversal of 3005265012 is 2105625003.

It is a congruent number.

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, 3426318 + ... + 3427194.

It is an arithmetic number, because the mean of its divisors is an integer number (77746900).

Almost surely, 23005265012 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 3005265012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731851200).

3005265012 is an abundant number, since it is smaller than the sum of its proper divisors (4458437388).

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

3005265012 is a wasteful number, since it uses less digits than its factorization.

3005265012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 3005265012 is about 54820.2974453806. The cubic root of 3005265012 is about 1443.0927951336.

The spelling of 3005265012 in words is "three billion, five million, two hundred sixty-five thousand, twelve".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 229 258 348 458 516 687 877 916 1247 1374 1754 2494 2631 2748 3508 3741 4988 5262 6641 7482 9847 10524 13282 14964 19694 19923 25433 26564 29541 37711 39388 39846 50866 59082 75422 76299 79692 101732 113133 118164 150844 152598 200833 226266 285563 305196 401666 452532 571126 602499 803332 856689 1093619 1142252 1204998 1713378 2187238 2409996 3280857 3426756 4374476 5824157 6561714 8635819 11648314 13123428 17271638 17472471 23296628 25907457 34543276 34944942 51814914 69889884 103629828 250438751 500877502 751316253 1001755004 1502632506 3005265012