Search a number
-
+
168993008944 = 241722329157349
BaseRepresentation
bin1001110101100011000…
…1001010110100110000
3121011012102011100002021
42131120301022310300
510232044202241234
6205345002401224
715131542606114
oct2353061126460
9534172140067
10168993008944
1165740169961
1228903500214
1312c2243caa6
148272029744
1545e12379b4
hex2758c4ad30

168993008944 has 240 divisors, whose sum is σ = 378928872000. Its totient is φ = 72768503808.

The previous prime is 168993008887. The next prime is 168993008953. The reversal of 168993008944 is 449800399861.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484220482 + ... + 484220830.

It is an arithmetic number, because the mean of its divisors is an integer number (1578870300).

Almost surely, 2168993008944 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 168993008944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189464436000).

168993008944 is an abundant number, since it is smaller than the sum of its proper divisors (209935863056).

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

168993008944 is a wasteful number, since it uses less digits than its factorization.

168993008944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 61.

The spelling of 168993008944 in words is "one hundred sixty-eight billion, nine hundred ninety-three million, eight thousand, nine hundred forty-four".