Search a number
-
+
5337521823744 = 213331167137239
BaseRepresentation
bin100110110101011110100…
…0101111010000000000000
3200220021002001222021221000
41031222331011322000000
51144422221041324434
615204005040332000
71060423523632605
oct115527505720000
920807061867830
105337521823744
1117786a2a14350
12722545314000
132c9431717536
141464a1cc66ac
1593c9404cb99
hex4dabd17a000

5337521823744 has 896 divisors, whose sum is σ = 17710625894400. Its totient is φ = 1575042416640.

The previous prime is 5337521823707. The next prime is 5337521823791. The reversal of 5337521823744 is 4473281257335.

It is a happy number.

5337521823744 is a `hidden beast` number, since 5 + 3 + 3 + 7 + 521 + 82 + 37 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22332727177 + ... + 22332727415.

Almost surely, 25337521823744 is an apocalyptic number.

5337521823744 is a gapful number since it is divisible by the number (54) 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 5337521823744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8855312947200).

5337521823744 is an abundant number, since it is smaller than the sum of its proper divisors (12373104070656).

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

5337521823744 is a wasteful number, since it uses less digits than its factorization.

5337521823744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 459 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 5337521823744 in words is "five trillion, three hundred thirty-seven billion, five hundred twenty-one million, eight hundred twenty-three thousand, seven hundred forty-four".