Search a number
-
+
149626523200 = 265271173127131
BaseRepresentation
bin1000101101011001101…
…1111000111001000000
3112022012201200221000111
42023112123320321000
54422413342220300
6152423143401104
713544612314420
oct2132633707100
9468181627014
10149626523200
11585022a9540
1224bb9753194
131115709647b
147355d32480
153d5ae099ba
hex22d66f8e40

149626523200 has 672 divisors, whose sum is σ = 472554897408. Its totient is φ = 45287424000.

The previous prime is 149626523197. The next prime is 149626523227. The reversal of 149626523200 is 2325626941.

149626523200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1142187135 + ... + 1142187265.

Almost surely, 2149626523200 is an apocalyptic number.

149626523200 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 149626523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236277448704).

149626523200 is an abundant number, since it is smaller than the sum of its proper divisors (322928374208).

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

149626523200 is a wasteful number, since it uses less digits than its factorization.

149626523200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 149626523200 in words is "one hundred forty-nine billion, six hundred twenty-six million, five hundred twenty-three thousand, two hundred".