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5801748864 = 273107337419
BaseRepresentation
bin1010110011100111…
…11010100110000000
3112222100000101020120
411121303322212000
543340221430424
62355411340240
7263526023502
oct53163724600
915870011216
105801748864
112507a3287a
12115abb1680
13715ca47c2
143d0763d72
1523e526a79
hex159cfa980

5801748864 has 128 divisors (see below), whose sum is σ = 15638313600. Its totient is φ = 1905598464.

The previous prime is 5801748863. The next prime is 5801748881. The reversal of 5801748864 is 4688471085.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5801748863) 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, 13846447 + ... + 13846865.

It is an arithmetic number, because the mean of its divisors is an integer number (122174325).

Almost surely, 25801748864 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 5801748864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819156800).

5801748864 is an abundant number, since it is smaller than the sum of its proper divisors (9836564736).

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

5801748864 is a wasteful number, since it uses less digits than its factorization.

5801748864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The square root of 5801748864 is about 76169.2120479134. The cubic root of 5801748864 is about 1796.8823464588.

The spelling of 5801748864 in words is "five billion, eight hundred one million, seven hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 337 384 419 428 642 674 838 856 1011 1257 1284 1348 1676 1712 2022 2514 2568 2696 3352 3424 4044 5028 5136 5392 6704 6848 8088 10056 10272 10784 13408 13696 16176 20112 20544 21568 26816 32352 36059 40224 41088 43136 44833 53632 64704 72118 80448 89666 108177 129408 134499 141203 144236 160896 179332 216354 268998 282406 288472 358664 423609 432708 537996 564812 576944 717328 847218 865416 1075992 1129624 1153888 1434656 1694436 1730832 2151984 2259248 2307776 2869312 3388872 3461664 4303968 4518496 4615552 5738624 6777744 6923328 8607936 9036992 13555488 13846656 15108721 17215872 18073984 27110976 30217442 45326163 54221952 60434884 90652326 120869768 181304652 241739536 362609304 483479072 725218608 966958144 1450437216 1933916288 2900874432 5801748864