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2151272448 = 2123213672
BaseRepresentation
bin1000000000111001…
…1101000000000000
312112220222222000100
42000032131000000
513401211204243
6553245122400
7104211341223
oct20016350000
95486888010
102151272448
11a04378916
12500559400
132839004a0
141659d55ba
15c8ce40d3
hex8039d000

2151272448 has 234 divisors, whose sum is σ = 6793402434. Its totient is φ = 652050432.

The previous prime is 2151272443. The next prime is 2151272467. The reversal of 2151272448 is 8442721512.

It can be written as a sum of positive squares in only one way, i.e., 1489342464 + 661929984 = 38592^2 + 25728^2 .

It is a tau number, because it is divible by the number of its divisors (234).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151272441) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32108511 + ... + 32108577.

Almost surely, 22151272448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151272448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396701217).

2151272448 is an abundant number, since it is smaller than the sum of its proper divisors (4642129986).

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

2151272448 is an equidigital number, since it uses as much as digits as its factorization.

2151272448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 85 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2151272448 is about 46381.8116075688. The cubic root of 2151272448 is about 1290.9174508316.

The spelling of 2151272448 in words is "two billion, one hundred fifty-one million, two hundred seventy-two thousand, four hundred forty-eight".