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21136311624 = 23331193147197
BaseRepresentation
bin10011101011110100…
…101000010101001000
32000120000200212202110
4103223310220111020
5321241343432444
613413200302320
71345530453531
oct235364502510
960500625673
1021136311624
118a6699583a
12411a6119a0
131cbac3038c
141047197688
1583a8c5cb9
hex4ebd28548

21136311624 has 64 divisors (see below), whose sum is σ = 54828311040. Its totient is φ = 6782791680.

The previous prime is 21136311601. The next prime is 21136311629. The reversal of 21136311624 is 42611363112.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21136311591 and 21136311600.

It is not an unprimeable number, because it can be changed into a prime (21136311629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69994 + ... + 217190.

It is an arithmetic number, because the mean of its divisors is an integer number (856692360).

Almost surely, 221136311624 is an apocalyptic number.

21136311624 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 21136311624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27414155520).

21136311624 is an abundant number, since it is smaller than the sum of its proper divisors (33691999416).

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

21136311624 is a wasteful number, since it uses less digits than its factorization.

21136311624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147430 (or 147426 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

Adding to 21136311624 its reverse (42611363112), we get a palindrome (63747674736).

The spelling of 21136311624 in words is "twenty-one billion, one hundred thirty-six million, three hundred eleven thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 193 248 372 386 579 744 772 1158 1544 2316 4632 5983 11966 17949 23932 35898 47864 71796 143592 147197 294394 441591 588788 883182 1177576 1766364 3532728 4563107 9126214 13689321 18252428 27378642 28409021 36504856 54757284 56818042 85227063 109514568 113636084 170454126 227272168 340908252 681816504 880679651 1761359302 2642038953 3522718604 5284077906 7045437208 10568155812 21136311624