Search a number
-
+
61990364233728 = 21434716674003
BaseRepresentation
bin11100001100001010000011…
…01000111100000000000000
322010111012222001211201120000
432012011001220330000000
531111122231220434403
6335501551415320000
716025441004660450
oct1606050150740000
9263435861751500
1061990364233728
111882aa69585097
126b52193680000
132878887a231c8
1411444c7597d60
157277a1b6d7a3
hex386141a3c000

61990364233728 has 600 divisors, whose sum is σ = 211837163970432. Its totient is φ = 17696485933056.

The previous prime is 61990364233723. The next prime is 61990364233789. The reversal of 61990364233728 is 82733246309916.

61990364233728 is a `hidden beast` number, since 6 + 19 + 9 + 0 + 364 + 233 + 7 + 28 = 666.

It is a super-2 number, since 2×619903642337282 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61990364233723) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15485974575 + ... + 15485978577.

Almost surely, 261990364233728 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 61990364233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105918581985216).

61990364233728 is an abundant number, since it is smaller than the sum of its proper divisors (149846799736704).

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

61990364233728 is an equidigital number, since it uses as much as digits as its factorization.

61990364233728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 61990364233728 in words is "sixty-one trillion, nine hundred ninety billion, three hundred sixty-four million, two hundred thirty-three thousand, seven hundred twenty-eight".