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5800648968 = 23321011934133
BaseRepresentation
bin1010110011011111…
…01110000100001000
3112222020221111110200
411121233232010020
543334431231333
62355332012200
7263513463012
oct53157560410
915866844420
105800648968
112507351474
12115a761060
137159aac8a
143d05591b2
1523e3aac13
hex159bee108

5800648968 has 96 divisors (see below), whose sum is σ = 15951700440. Its totient is φ = 1904025600.

The previous prime is 5800648957. The next prime is 5800648969. The reversal of 5800648968 is 8698460085.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5730792804 + 69856164 = 75702^2 + 8358^2 .

It is not an unprimeable number, because it can be changed into a prime (5800648969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1401430 + ... + 1405562.

Almost surely, 25800648968 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 5800648968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7975850220).

5800648968 is an abundant number, since it is smaller than the sum of its proper divisors (10151051472).

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

5800648968 is a wasteful number, since it uses less digits than its factorization.

5800648968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4439 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 5800648968 is about 76161.9916231187. The cubic root of 5800648968 is about 1796.7687882508.

The spelling of 5800648968 in words is "five billion, eight hundred million, six hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 193 202 303 386 404 579 606 772 808 909 1158 1212 1544 1737 1818 2316 2424 3474 3636 4133 4632 6948 7272 8266 12399 13896 16532 19493 24798 33064 37197 38986 49596 58479 74394 77972 99192 116958 148788 155944 175437 233916 297576 350874 417433 467832 701748 797669 834866 1252299 1403496 1595338 1669732 2393007 2504598 3190676 3339464 3756897 4786014 5009196 6381352 7179021 7513794 9572028 10018392 14358042 15027588 19144056 28716084 30055176 57432168 80564569 161129138 241693707 322258276 483387414 644516552 725081121 966774828 1450162242 1933549656 2900324484 5800648968