Search a number
-
+
149091865920 = 26345172347313
BaseRepresentation
bin1000101011011010010…
…0010101010101000000
3112020211110122112010000
42022312210111111000
54420320004202140
6152254124040000
713525430644014
oct2126644252500
9466743575100
10149091865920
1158258520618
1224a8a693000
13110a039860a
147304d18544
153d28ee7a30
hex22b6915540

149091865920 has 1120 divisors, whose sum is σ = 600336811008. Its totient is φ = 34918760448.

The previous prime is 149091865919. The next prime is 149091865927. The reversal of 149091865920 is 29568190941.

149091865920 is a `hidden beast` number, since 1 + 49 + 0 + 9 + 1 + 8 + 6 + 592 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149091865927) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 476331684 + ... + 476331996.

Almost surely, 2149091865920 is an apocalyptic number.

149091865920 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 149091865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300168405504).

149091865920 is an abundant number, since it is smaller than the sum of its proper divisors (451244945088).

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

149091865920 is a wasteful number, since it uses less digits than its factorization.

149091865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 149091865920 in words is "one hundred forty-nine billion, ninety-one million, eight hundred sixty-five thousand, nine hundred twenty".