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21973980672 = 29357231097
BaseRepresentation
bin10100011101110000…
…000101011000000000
32002201101220212200000
4110131300011120000
5330000314340142
614032242400000
71405351516410
oct243560053000
962641825600
1021973980672
119356814a06
124313060000
1320c2641b37
1410c652a640
158891de14c
hex51dc05600

21973980672 has 480 divisors, whose sum is σ = 78501975552. Its totient is φ = 5999837184.

The previous prime is 21973980671. The next prime is 21973980673. The reversal of 21973980672 is 27608937912.

21973980672 is a `hidden beast` number, since 2 + 197 + 398 + 0 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21973980671) and next prime (21973980673).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21973980671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20030428 + ... + 20031524.

Almost surely, 221973980672 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 21973980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39250987776).

21973980672 is an abundant number, since it is smaller than the sum of its proper divisors (56527994880).

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

21973980672 is an equidigital number, since it uses as much as digits as its factorization.

21973980672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 21973980672 in words is "twenty-one billion, nine hundred seventy-three million, nine hundred eighty thousand, six hundred seventy-two".