Search a number
-
+
21336045498090 = 232567113238113151
BaseRepresentation
bin1001101100111101011110…
…11010011010111011101010
32210112201001200202222120200
410312132233122122323222
510244032210121414330
6113213351033533030
74331323045255101
oct466365732327352
983481050688520
1021336045498090
1168866254aa474
12248709a574176
13bb9c990ac26b
1453a954b05038
1526eeed508a60
hex1367af69aeea

21336045498090 has 192 divisors, whose sum is σ = 56828105597952. Its totient is φ = 5552338176000.

The previous prime is 21336045498067. The next prime is 21336045498149. The reversal of 21336045498090 is 9089454063312.

21336045498090 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 6 + 0 + 4 + 549 + 8 + 0 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1622383015 + ... + 1622396165.

It is an arithmetic number, because the mean of its divisors is an integer number (295979716656).

Almost surely, 221336045498090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21336045498090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28414052798976).

21336045498090 is an abundant number, since it is smaller than the sum of its proper divisors (35492060099862).

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

21336045498090 is a wasteful number, since it uses less digits than its factorization.

21336045498090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15725 (or 15722 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 21336045498090 in words is "twenty-one trillion, three hundred thirty-six billion, forty-five million, four hundred ninety-eight thousand, ninety".