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21989344398912 = 2632113793798391
BaseRepresentation
bin1001111111111110010110…
…00011111100111001000000
32212212011100012220201212200
410333333023003330321000
510340233134131231122
6114433433152353200
74426451311302402
oct477771303747100
985764305821780
1021989344398912
1170086a071a030
122571822b45800
13c367810953b7
1456040b88ab72
15281ed76535ac
hex13ffcb0fce40

21989344398912 has 168 divisors, whose sum is σ = 70616682207552. Its totient is φ = 6483344716800.

The previous prime is 21989344398907. The next prime is 21989344398913.

21989344398912 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 9 + 3 + 443 + 98 + 91 + 2 = 666.

21989344398912 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (21989344398913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46664764 + ... + 47133627.

Almost surely, 221989344398912 is an apocalyptic number.

21989344398912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21989344398912 is an abundant number, since it is smaller than the sum of its proper divisors (48627337808640).

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

21989344398912 is a wasteful number, since it uses less digits than its factorization.

21989344398912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93798457 (or 93798444 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The spelling of 21989344398912 in words is "twenty-one trillion, nine hundred eighty-nine billion, three hundred forty-four million, three hundred ninety-eight thousand, nine hundred twelve".