Search a number
-
+
149622961536 = 273510346703
BaseRepresentation
bin1000101101011000111…
…0010011010110000000
3112022012110222222100000
42023112032103112000
54422411434232121
6152422535200000
713544540121516
oct2132616232600
9468173888300
10149622961536
1158500296614
1224bb8516000
131115641a289
1473556864b6
153d5a954526
hex22d6393580

149622961536 has 192 divisors, whose sum is σ = 450846789120. Its totient is φ = 49389046272.

The previous prime is 149622961529. The next prime is 149622961559. The reversal of 149622961536 is 635169226941.

149622961536 is a `hidden beast` number, since 1 + 4 + 9 + 622 + 9 + 6 + 1 + 5 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3180361 + ... + 3227063.

It is an arithmetic number, because the mean of its divisors is an integer number (2348160360).

Almost surely, 2149622961536 is an apocalyptic number.

149622961536 is a gapful number since it is divisible by the number (16) 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 149622961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225423394560).

149622961536 is an abundant number, since it is smaller than the sum of its proper divisors (301223827584).

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

149622961536 is an equidigital number, since it uses as much as digits as its factorization.

149622961536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46835 (or 46811 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 149622961536 in words is "one hundred forty-nine billion, six hundred twenty-two million, nine hundred sixty-one thousand, five hundred thirty-six".