Search a number
-
+
149840383680 = 2634513597537
BaseRepresentation
bin1000101110001100101…
…1101100111011000000
3112022202122010011110000
42023203023230323000
54423333114234210
6152500303240000
713553120150361
oct2134313547300
9468678104400
10149840383680
1158601a99039
12250592a9000
131118c494530
1473764c1b68
153d6eaa0ac0
hex22e32ecec0

149840383680 has 560 divisors, whose sum is σ = 583815687840. Its totient is φ = 36253827072.

The previous prime is 149840383607. The next prime is 149840383729. The reversal of 149840383680 is 86383048941.

149840383680 is a `hidden beast` number, since 1 + 498 + 40 + 3 + 8 + 36 + 80 = 666.

It is a super-2 number, since 2×1498403836802 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19876872 + ... + 19884408.

It is an arithmetic number, because the mean of its divisors is an integer number (1042528014).

Almost surely, 2149840383680 is an apocalyptic number.

149840383680 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 149840383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291907843920).

149840383680 is an abundant number, since it is smaller than the sum of its proper divisors (433975304160).

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

149840383680 is a wasteful number, since it uses less digits than its factorization.

149840383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7638 (or 7619 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 149840383680 in words is "one hundred forty-nine billion, eight hundred forty million, three hundred eighty-three thousand, six hundred eighty".