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21139168167936 = 211337213471132
BaseRepresentation
bin1001100111001110110001…
…00111000000100000000000
32202211212212222100100211000
410303213120213000200000
510232321004022333221
6112543111053252000
74311153202464600
oct463473047004000
982755788310730
1021139168167936
116810086374355
122454ab4794000
13ba45519c4830
145311d963cc00
15269d292a9e26
hex1339d89c0800

21139168167936 has 1728 divisors, whose sum is σ = 80830456761600. Its totient is φ = 5408256688128.

The previous prime is 21139168167913. The next prime is 21139168167967. The reversal of 21139168167936 is 63976186193112.

It is a happy number.

21139168167936 is a `hidden beast` number, since 21 + 1 + 391 + 6 + 81 + 67 + 93 + 6 = 666.

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

It is a super-4 number, since 4×211391681679364 (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 187072284616 + ... + 187072284728.

It is an arithmetic number, because the mean of its divisors is an integer number (46776884700).

Almost surely, 221139168167936 is an apocalyptic number.

21139168167936 is a gapful number since it is divisible by the number (26) 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 21139168167936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40415228380800).

21139168167936 is an abundant number, since it is smaller than the sum of its proper divisors (59691288593664).

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

21139168167936 is a wasteful number, since it uses less digits than its factorization.

21139168167936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 185 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 21139168167936 in words is "twenty-one trillion, one hundred thirty-nine billion, one hundred sixty-eight million, one hundred sixty-seven thousand, nine hundred thirty-six".