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21674248056 = 23331729375501
BaseRepresentation
bin10100001011111000…
…101100011101111000
32001221111220212211000
4110023320230131320
5323342101414211
613542414205000
71365052032366
oct241370543570
961844825730
1021674248056
1192126033aa
12424a7b3760
132075508966
1410987c6636
1586cc34656
hex50be2c778

21674248056 has 256 divisors, whose sum is σ = 67740624000. Its totient is φ = 6386688000.

The previous prime is 21674248051. The next prime is 21674248121. The reversal of 21674248056 is 65084247612.

21674248056 is a `hidden beast` number, since 2 + 167 + 4 + 2 + 480 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21674248051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3937306 + ... + 3942806.

Almost surely, 221674248056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21674248056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33870312000).

21674248056 is an abundant number, since it is smaller than the sum of its proper divisors (46066375944).

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

21674248056 is a wasteful number, since it uses less digits than its factorization.

21674248056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599 (or 5589 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 21674248056 in words is "twenty-one billion, six hundred seventy-four million, two hundred forty-eight thousand, fifty-six".