Search a number
-
+
501143666688 = 215310737
BaseRepresentation
bin1110100101011100111…
…11011000000000000000
31202220112120020000000000
413102232133120000000
531202320234313223
61022120000000000
751130543611510
oct7225637300000
91686476200000
10501143666688
11183596598185
1281160000000
133834707a222
141a38108b840
15d081242543
hex74ae7d8000

501143666688 has 704 divisors, whose sum is σ = 1764607992720. Its totient is φ = 139314069504.

The previous prime is 501143666669. The next prime is 501143666719. The reversal of 501143666688 is 886666341105.

It is a super-2 number, since 2×5011436666882 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 13544423406 + ... + 13544423442.

Almost surely, 2501143666688 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 501143666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882303996360).

501143666688 is an abundant number, since it is smaller than the sum of its proper divisors (1263464326032).

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

501143666688 is an frugal number, since it uses more digits than its factorization.

501143666688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 501143666688 in words is "five hundred one billion, one hundred forty-three million, six hundred sixty-six thousand, six hundred eighty-eight".