Search a number
-
+
21536152178436 = 223672122772
BaseRepresentation
bin1001110010110010001101…
…01100110100111100000100
32211020211120110210121000000
410321121012230310330010
510310322014424202221
6113445323254321300
74351635633056400
oct471310654647404
984224513717000
1021536152178436
116953481505145
1224b9a25959230
13c02b095407ac
145464d9036100
15275311001e26
hex139646b34f04

21536152178436 has 189 divisors, whose sum is σ = 65737463911749. Its totient is φ = 6152685140448.

The previous prime is 21536152178393. The next prime is 21536152178461. The reversal of 21536152178436 is 63487125163512.

It is a happy number.

The square root of 21536152178436 is 4640706.

It is a perfect power (a square), and thus also a powerful number.

21536152178436 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 6 + 1 + 521 + 7 + 84 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1815944904900 + 19720207273536 = 1347570^2 + 4440744^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1754180730 + ... + 1754193006.

Almost surely, 221536152178436 is an apocalyptic number.

21536152178436 is the 4640706-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21536152178436

21536152178436 is an abundant number, since it is smaller than the sum of its proper divisors (44201311733313).

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

21536152178436 is an frugal number, since it uses more digits than its factorization.

21536152178436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24590 (or 12289 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 21536152178436 in words is "twenty-one trillion, five hundred thirty-six billion, one hundred fifty-two million, one hundred seventy-eight thousand, four hundred thirty-six".