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5830095744 = 273311153359
BaseRepresentation
bin1010110111000000…
…00011001110000000
3120001022100112212000
411123200003032000
543420001030434
62402303104000
7264321665454
oct53340031600
916038315760
105830095744
112521a34250
1211685a2000
1371bb1b1c5
143d4422664
15241c75b99
hex15b803380

5830095744 has 128 divisors (see below), whose sum is σ = 18771264000. Its totient is φ = 1766684160.

The previous prime is 5830095743. The next prime is 5830095749. The reversal of 5830095744 is 4475900385.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 5830095744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5830095743) 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, 38664 + ... + 114695.

It is an arithmetic number, because the mean of its divisors is an integer number (146650500).

Almost surely, 25830095744 is an apocalyptic number.

5830095744 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5830095744 is an abundant number, since it is smaller than the sum of its proper divisors (12941168256).

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

5830095744 is a wasteful number, since it uses less digits than its factorization.

5830095744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153393 (or 153375 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5830095744 is about 76355.0636434808. The cubic root of 5830095744 is about 1799.8040675622.

The spelling of 5830095744 in words is "five billion, eight hundred thirty million, ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 38016 153359 306718 460077 613436 920154 1226872 1380231 1686949 1840308 2453744 2760462 3373898 3680616 4140693 4907488 5060847 5520924 6747796 7361232 8281386 9814976 10121694 11041848 13495592 14722464 15182541 16562772 19629952 20243388 22083696 26991184 29444928 30365082 33125544 40486776 44167392 45547623 53982368 58889856 60730164 66251088 80973552 88334784 91095246 107964736 121460328 132502176 161947104 176669568 182190492 215929472 242920656 265004352 323894208 364380984 485841312 530008704 647788416 728761968 971682624 1457523936 1943365248 2915047872 5830095744