Search a number
-
+
919193988330 = 235510914923291
BaseRepresentation
bin11010110000001000011…
…10110010110011101010
310020212121012122201100000
431120010032302303222
5110030002130111310
61542134421123430
7123260324662122
oct15300416626352
93225535581300
10919193988330
11324912052372
1212a190259576
13688ab187757
14326bc619c82
1518d9c6344c0
hexd6043b2cea

919193988330 has 192 divisors, whose sum is σ = 2518051536000. Its totient is φ = 241229249280.

The previous prime is 919193988103. The next prime is 919193988341. The reversal of 919193988330 is 33889391919.

919193988330 is a `hidden beast` number, since 9 + 191 + 9 + 39 + 88 + 330 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 39453985 + ... + 39477275.

It is an arithmetic number, because the mean of its divisors is an integer number (13114851750).

Almost surely, 2919193988330 is an apocalyptic number.

919193988330 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 919193988330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259025768000).

919193988330 is an abundant number, since it is smaller than the sum of its proper divisors (1598857547670).

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

919193988330 is a wasteful number, since it uses less digits than its factorization.

919193988330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23571 (or 23559 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 63.

The spelling of 919193988330 in words is "nine hundred nineteen billion, one hundred ninety-three million, nine hundred eighty-eight thousand, three hundred thirty".