Search a number
-
+
94080456944448 = 263131741536797157
BaseRepresentation
bin10101011001000011010000…
…001101110110101101000000
3110100010000002210201020022220
4111121003100031312231000
544312403233434210243
6532031544255131040
725550042266314162
oct2531032015665500
9410100083636286
1094080456944448
1127a823302aaa47
12a67550a813a80
1340659977a97b0
141933738746932
15ad23adeb6783
hex5590d0376b40

94080456944448 has 1792 divisors, whose sum is σ = 305702773318656. Its totient is φ = 25262964080640.

The previous prime is 94080456944447. The next prime is 94080456944479. The reversal of 94080456944448 is 84444965408049.

It is a super-2 number, since 2×940804569444482 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94080456944447) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 599238579186 + ... + 599238579342.

It is an arithmetic number, because the mean of its divisors is an integer number (170593065468).

Almost surely, 294080456944448 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 94080456944448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152851386659328).

94080456944448 is an abundant number, since it is smaller than the sum of its proper divisors (211622316374208).

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

94080456944448 is a wasteful number, since it uses less digits than its factorization.

94080456944448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 69.

The spelling of 94080456944448 in words is "ninety-four trillion, eighty billion, four hundred fifty-six million, nine hundred forty-four thousand, four hundred forty-eight".