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2135274372 = 2234721112227
BaseRepresentation
bin111111101000101…
…1011001110000100
312111210220011210000
41333101123032010
513333112234442
6551514201300
7103625350500
oct17721331604
95453804700
102135274372
119a6341270
124b7123230
132804bb77a
1416382d300
15c76d3d4c
hex7f45b384

2135274372 has 180 divisors, whose sum is σ = 7084267344. Its totient is φ = 554571360.

The previous prime is 2135274371. The next prime is 2135274433. The reversal of 2135274372 is 2734725312.

2135274372 is a `hidden beast` number, since 2 + 13 + 5 + 274 + 372 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2135274371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 168523 + ... + 180749.

Almost surely, 22135274372 is an apocalyptic number.

2135274372 is a gapful number since it is divisible by the number (22) 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 2135274372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542133672).

2135274372 is an abundant number, since it is smaller than the sum of its proper divisors (4948992972).

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

2135274372 is a wasteful number, since it uses less digits than its factorization.

2135274372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12268 (or 12250 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 2135274372 is about 46209.0291176952. The cubic root of 2135274372 is about 1287.7094886697.

Adding to 2135274372 its reverse (2734725312), we get a palindrome (4869999684).

The spelling of 2135274372 in words is "two billion, one hundred thirty-five million, two hundred seventy-four thousand, three hundred seventy-two".