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21364227624744 = 2332296725383677
BaseRepresentation
bin1001101101110001111110…
…01100101100111100101000
32210122101210202102100112100
410312320333030230330220
510300012414232442434
6113234331330413400
74333341322345464
oct466707714547450
983571722370470
1021364227624744
116897577591334
122490644731260
13bbc83a966b54
1453c0699434a4
15270aec748699
hex136e3f32cf28

21364227624744 has 24 divisors (see below), whose sum is σ = 57861449817210. Its totient is φ = 7121409208224.

The previous prime is 21364227624713. The next prime is 21364227624749. The reversal of 21364227624744 is 44742672246312.

21364227624744 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 4 + 2 + 2 + 7 + 624 + 7 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16154467024644 + 5209760600100 = 4019262^2 + 2282490^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (21364227624749) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148362691767 + ... + 148362691910.

Almost surely, 221364227624744 is an apocalyptic number.

21364227624744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21364227624744 is an abundant number, since it is smaller than the sum of its proper divisors (36497222192466).

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

21364227624744 is a wasteful number, since it uses less digits than its factorization.

21364227624744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296725383689 (or 296725383682 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 54.

The spelling of 21364227624744 in words is "twenty-one trillion, three hundred sixty-four billion, two hundred twenty-seven million, six hundred twenty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 296725383677 593450767354 890176151031 1186901534708 1780352302062 2373803069416 2670528453093 3560704604124 5341056906186 7121409208248 10682113812372 21364227624744