Search a number
-
+
5797456896 = 210371124509
BaseRepresentation
bin1010110011000111…
…00010110000000000
3112222000221022202210
411121203202300000
543333122110041
62355135342120
7263444366460
oct53143426000
915860838683
105797456896
1125055711a0
121159681940
1371513108a
143cdd67ba0
1523de7a016
hex1598e2c00

5797456896 has 176 divisors, whose sum is σ = 19266036480. Its totient is φ = 1505771520.

The previous prime is 5797456859. The next prime is 5797456913. The reversal of 5797456896 is 6986547975.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×57974568962 = 67221012921955909632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224290 + ... + 248798.

Almost surely, 25797456896 is an apocalyptic number.

5797456896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5797456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9633018240).

5797456896 is an abundant number, since it is smaller than the sum of its proper divisors (13468579584).

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

5797456896 is a wasteful number, since it uses less digits than its factorization.

5797456896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24550 (or 24532 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 66.

The square root of 5797456896 is about 76141.0329323158. The cubic root of 5797456896 is about 1796.4391430823.

The spelling of 5797456896 in words is "five billion, seven hundred ninety-seven million, four hundred fifty-six thousand, eight hundred ninety-six".