Search a number
-
+
6274232747904 = 2731129376713597
BaseRepresentation
bin101101101001101010101…
…1010100000011110000000
3211012210220001211112211010
41123103111122200132000
51310244112040413104
621202202010320520
71215204223260552
oct133232532403600
924183801745733
106274232747904
111aa99838a9890
12853ba3a29140
133668719c9c74
14179962b054d2
15ad31941a489
hex5b4d56a0780

6274232747904 has 256 divisors, whose sum is σ = 18814323340800. Its totient is φ = 1835098890240.

The previous prime is 6274232747869. The next prime is 6274232747947. The reversal of 6274232747904 is 4097472324726.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461435634 + ... + 461449230.

It is an arithmetic number, because the mean of its divisors is an integer number (73493450550).

Almost surely, 26274232747904 is an apocalyptic number.

6274232747904 is a gapful number since it is divisible by the number (64) 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 6274232747904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9407161670400).

6274232747904 is an abundant number, since it is smaller than the sum of its proper divisors (12540090592896).

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

6274232747904 is a wasteful number, since it uses less digits than its factorization.

6274232747904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17421 (or 17409 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 57.

The spelling of 6274232747904 in words is "six trillion, two hundred seventy-four billion, two hundred thirty-two million, seven hundred forty-seven thousand, nine hundred four".