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21221794879488 = 211357172107197
BaseRepresentation
bin1001101001101000101011…
…00010111001100000000000
32210010210011101002012200000
410310310111202321200000
510240144213442120423
6113045054042400000
74320136601111430
oct464642542714000
983123141065600
1021221794879488
116842126a5a725
122468b14200000
13bac28c092828
145351d71b02c0
1526c063183843
hex134d158b9800

21221794879488 has 1728 divisors, whose sum is σ = 78283926040320. Its totient is φ = 5624670191616.

The previous prime is 21221794879477. The next prime is 21221794879543. The reversal of 21221794879488 is 88497849712212.

21221794879488 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 1 + 79 + 4 + 8 + 79 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 107724847006 + ... + 107724847202.

It is an arithmetic number, because the mean of its divisors is an integer number (45303197940).

Almost surely, 221221794879488 is an apocalyptic number.

21221794879488 is a gapful number since it is divisible by the number (28) 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 21221794879488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39141963020160).

21221794879488 is an abundant number, since it is smaller than the sum of its proper divisors (57062131160832).

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

21221794879488 is a wasteful number, since it uses less digits than its factorization.

21221794879488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 333 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 72.

The spelling of 21221794879488 in words is "twenty-one trillion, two hundred twenty-one billion, seven hundred ninety-four million, eight hundred seventy-nine thousand, four hundred eighty-eight".