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149209479000 = 23335331892003
BaseRepresentation
bin1000101011110110010…
…0111111011101011000
3112021010122221212221000
42022331210333131120
54421040111312000
6152313524545000
713531356434211
oct2127544773530
9467118855830
10149209479000
115830895200a
1224b01b52160
13110bb867c5a
1473167b2408
153d344cb000
hex22bd93f758

149209479000 has 512 divisors, whose sum is σ = 540214272000. Its totient is φ = 38054016000.

The previous prime is 149209478959. The next prime is 149209479007. The reversal of 149209479000 is 974902941.

It is a happy number.

149209479000 is a `hidden beast` number, since 1 + 492 + 0 + 94 + 79 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149209479007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74491999 + ... + 74494001.

It is an arithmetic number, because the mean of its divisors is an integer number (1055106000).

Almost surely, 2149209479000 is an apocalyptic number.

149209479000 is a gapful number since it is divisible by the number (10) 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 149209479000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270107136000).

149209479000 is an abundant number, since it is smaller than the sum of its proper divisors (391004793000).

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

149209479000 is a wasteful number, since it uses less digits than its factorization.

149209479000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 149209479000 in words is "one hundred forty-nine billion, two hundred nine million, four hundred seventy-nine thousand".