Search a number
-
+
149804450496 = 26322393113499
BaseRepresentation
bin1000101110000100001…
…0101000001011000000
3112022200010111120101100
42023201002220023000
54423244414403441
6152452541134400
713552202551041
oct2134102501300
9468603446340
10149804450496
1158593785998
122504925a400
1311184bc2aac
14737180a8c8
153d6b853cb6
hex22e10a82c0

149804450496 has 168 divisors, whose sum is σ = 432694080000. Its totient is φ = 49551828480.

The previous prime is 149804450479. The next prime is 149804450519. The reversal of 149804450496 is 694054408941.

149804450496 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 0 + 44 + 504 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42811755 + ... + 42815253.

It is an arithmetic number, because the mean of its divisors is an integer number (2575560000).

Almost surely, 2149804450496 is an apocalyptic number.

149804450496 is a gapful number since it is divisible by the number (16) 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 149804450496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216347040000).

149804450496 is an abundant number, since it is smaller than the sum of its proper divisors (282889629504).

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

149804450496 is a wasteful number, since it uses less digits than its factorization.

149804450496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 149804450496 in words is "one hundred forty-nine billion, eight hundred four million, four hundred fifty thousand, four hundred ninety-six".