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1215145152 = 26341321973
BaseRepresentation
bin100100001101101…
…1010010011000000
310010200111202210000
41020123122103000
54442034121102
6320324440000
742053364144
oct11033322300
93120452700
101215145152
11573a105a1
1229ab49000
13164997c00
14b7553224
1571a2d01c
hex486da4c0

1215145152 has 420 divisors, whose sum is σ = 4161998280. Its totient is φ = 349360128.

The previous prime is 1215145147. The next prime is 1215145187. The reversal of 1215145152 is 2515415121.

It is a happy number.

1215145152 is a `hidden beast` number, since 12 + 151 + 451 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16645788 + ... + 16645860.

Almost surely, 21215145152 is an apocalyptic number.

1215145152 is a gapful number since it is divisible by the number (12) 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 1215145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080999140).

1215145152 is an abundant number, since it is smaller than the sum of its proper divisors (2946853128).

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

1215145152 is a wasteful number, since it uses less digits than its factorization.

1215145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 110 counting only the distinct ones).

The product of its digits is 2000, while the sum is 27.

The square root of 1215145152 is about 34858.9321695315. The cubic root of 1215145152 is about 1067.1104826736.

The spelling of 1215145152 in words is "one billion, two hundred fifteen million, one hundred forty-five thousand, one hundred fifty-two".