Search a number
-
+
149658094260 = 2233529311492069
BaseRepresentation
bin1000101101100001010…
…0010100101010110100
3112022021221002220101000
42023120110110222310
54422444433004020
6152430232203300
713545444545343
oct2133024245264
9468257086330
10149658094260
1158519102324
1225008239530
131116079b57c
14735a1cdb5a
153d5da94090
hex22d8514ab4

149658094260 has 384 divisors, whose sum is σ = 500774400000. Its totient is φ = 37021501440.

The previous prime is 149658094259. The next prime is 149658094297. The reversal of 149658094260 is 62490856941.

149658094260 is a `hidden beast` number, since 1 + 496 + 5 + 8 + 0 + 94 + 2 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 149658094197 and 149658094206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72332506 + ... + 72334574.

It is an arithmetic number, because the mean of its divisors is an integer number (1304100000).

Almost surely, 2149658094260 is an apocalyptic number.

149658094260 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 149658094260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250387200000).

149658094260 is an abundant number, since it is smaller than the sum of its proper divisors (351116305740).

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

149658094260 is a wasteful number, since it uses less digits than its factorization.

149658094260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 149658094260 in words is "one hundred forty-nine billion, six hundred fifty-eight million, ninety-four thousand, two hundred sixty".