Search a number
-
+
149482036800 = 26325271293499
BaseRepresentation
bin1000101100110111010…
…0101101111001000000
3112021211122211020221100
42023031310231321000
54422114400134200
6152400542454400
713541206230315
oct2131564557100
9467748736840
10149482036800
1158438792798
1224b79294400
1311133178065
147340a80d0c
153d4d3b8d00
hex22cdd2de40

149482036800 has 504 divisors, whose sum is σ = 541699704000. Its totient is φ = 39087820800.

The previous prime is 149482036787. The next prime is 149482036801. The reversal of 149482036800 is 8630284941.

It is a happy number.

149482036800 is a `hidden beast` number, since 1 + 494 + 82 + 0 + 3 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (149482036801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299562951 + ... + 299563449.

It is an arithmetic number, because the mean of its divisors is an integer number (1074801000).

Almost surely, 2149482036800 is an apocalyptic number.

149482036800 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 149482036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270849852000).

149482036800 is an abundant number, since it is smaller than the sum of its proper divisors (392217667200).

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

149482036800 is a wasteful number, since it uses less digits than its factorization.

149482036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 149482036800 in words is "one hundred forty-nine billion, four hundred eighty-two million, thirty-six thousand, eight hundred".