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2156471424 = 2735194189
BaseRepresentation
bin1000000010001001…
…0010010010000000
312120021210002200000
42000202102102000
513404024041144
6553552400000
7104303463462
oct20042222200
95507702600
102156471424
11a072a9998
12502246000
13284a009c3
1416658a132
15c94be769
hex80892480

2156471424 has 384 divisors, whose sum is σ = 7017192000. Its totient is φ = 656916480.

The previous prime is 2156471423. The next prime is 2156471431. The reversal of 2156471424 is 4241746512.

2156471424 is a `hidden beast` number, since 2 + 1 + 5 + 647 + 1 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (2156471423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24229972 + ... + 24230060.

Almost surely, 22156471424 is an apocalyptic number.

2156471424 is a gapful number since it is divisible by the number (24) 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 2156471424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508596000).

2156471424 is an abundant number, since it is smaller than the sum of its proper divisors (4860720576).

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

2156471424 is an equidigital number, since it uses as much as digits as its factorization.

2156471424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2156471424 is about 46437.8232047972. The cubic root of 2156471424 is about 1291.9565334736.

The spelling of 2156471424 in words is "two billion, one hundred fifty-six million, four hundred seventy-one thousand, four hundred twenty-four".