Search a number
-
+
7342331609088 = 21437773401
BaseRepresentation
bin110101011011000010100…
…0100010100000000000000
3221222220211201021120000000
41222312011010110000000
51430244043342442323
623341004240000000
71355315551634520
oct152660504240000
927886751246000
107342331609088
112380957863043
129a6bb0000000
134134c059b128
141b5529481680
15caece40be43
hex6ad85114000

7342331609088 has 960 divisors, whose sum is σ = 25577511267840. Its totient is φ = 2063912140800.

The previous prime is 7342331609071. The next prime is 7342331609113. The reversal of 7342331609088 is 8809061332437.

7342331609088 is a `hidden beast` number, since 7 + 3 + 4 + 23 + 3 + 1 + 609 + 0 + 8 + 8 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18310053688 + ... + 18310054088.

It is an arithmetic number, because the mean of its divisors is an integer number (26643240904).

Almost surely, 27342331609088 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 7342331609088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12788755633920).

7342331609088 is an abundant number, since it is smaller than the sum of its proper divisors (18235179658752).

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

7342331609088 is an frugal number, since it uses more digits than its factorization.

7342331609088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 7342331609088 in words is "seven trillion, three hundred forty-two billion, three hundred thirty-one million, six hundred nine thousand, eighty-eight".