Search a number
-
+
5996934890496 = 210341127732
BaseRepresentation
bin101011101000100010100…
…1011001000010000000000
3210020022010200222212010000
41113101011023020100000
51241223210312443441
620430542011040000
71156156431340644
oct127210513102000
923208120885100
105996934890496
111a02316451300
1280a2b5440000
1334667c32ca34
1416a378ab8c24
15a5ed9d322b6
hex574452c8400

5996934890496 has 495 divisors, whose sum is σ = 19709519396413. Its totient is φ = 1814902087680.

The previous prime is 5996934890491. The next prime is 5996934890503. The reversal of 5996934890496 is 6940984396995.

The square root of 5996934890496 is 2448864.

It is a perfect power (a square), and thus also a powerful number.

5996934890496 is a `hidden beast` number, since 5 + 9 + 9 + 6 + 9 + 34 + 8 + 90 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 381627417600 + 5615307472896 = 617760^2 + 2369664^2 .

It is a super-2 number, since 2×59969348904962 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (5996934890491) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7758000766 + ... + 7758001538.

Almost surely, 25996934890496 is an apocalyptic number.

5996934890496 is the 2448864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5996934890496

5996934890496 is an abundant number, since it is smaller than the sum of its proper divisors (13712584505917).

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

5996934890496 is an frugal number, since it uses more digits than its factorization.

5996934890496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 4081466880, while the sum is 81.

Multiplying 5996934890496 by its sum of digits (81), we get a square (485751726130176 = 220397762).

5996934890496 divided by its sum of digits (81) gives a square (74036233216 = 2720962).

The spelling of 5996934890496 in words is "five trillion, nine hundred ninety-six billion, nine hundred thirty-four million, eight hundred ninety thousand, four hundred ninety-six".