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71458730304 = 2631328629299
BaseRepresentation
bin100001010001101000…
…1011011000101000000
320211110002012121122220
41002203101123011000
52132321413332204
652454440331040
75106546120453
oct1024321330500
9224402177586
1071458730304
112833a654805
1211a23473a80
13697a71a190
14365c65549a
151cd37071d9
hex10a345b140

71458730304 has 56 divisors (see below), whose sum is σ = 203611581600. Its totient is φ = 21987300864.

The previous prime is 71458730297. The next prime is 71458730309. The reversal of 71458730304 is 40303785417.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71458730309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14312154 + ... + 14317145.

It is an arithmetic number, because the mean of its divisors is an integer number (3635921100).

Almost surely, 271458730304 is an apocalyptic number.

It is an amenable number.

71458730304 is an abundant number, since it is smaller than the sum of its proper divisors (132152851296).

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

71458730304 is a wasteful number, since it uses less digits than its factorization.

71458730304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28629327 (or 28629317 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 71458730304 in words is "seventy-one billion, four hundred fifty-eight million, seven hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 28629299 57258598 85887897 114517196 171775794 229034392 343551588 372180887 458068784 687103176 744361774 916137568 1116542661 1374206352 1488723548 1832275136 2233085322 2748412704 2977447096 4466170644 5496825408 5954894192 8932341288 11909788384 17864682576 23819576768 35729365152 71458730304