Search a number
-
+
149984714880 = 273357111322329
BaseRepresentation
bin1000101110101111001…
…0010010000010000000
3112100010200200221122000
42023223302102002000
54424132041334010
6152522500544000
713556522020140
oct2135362220200
9470120627560
10149984714880
1158676509220
12250996b2000
13111b335a100
14738b732920
153d7c5b07c0
hex22ebc92080

149984714880 has 3072 divisors, whose sum is σ = 774116352000. Its totient is φ = 26568622080.

The previous prime is 149984714861. The next prime is 149984714899. The reversal of 149984714880 is 88417489941.

149984714880 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 84 + 71 + 488 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149984714861) and next prime (149984714899).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5171886706 + ... + 5171886734.

It is an arithmetic number, because the mean of its divisors is an integer number (251991000).

Almost surely, 2149984714880 is an apocalyptic number.

149984714880 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 149984714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387058176000).

149984714880 is an abundant number, since it is smaller than the sum of its proper divisors (624131637120).

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

149984714880 is a wasteful number, since it uses less digits than its factorization.

149984714880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 149984714880 in words is "one hundred forty-nine billion, nine hundred eighty-four million, seven hundred fourteen thousand, eight hundred eighty".