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20367260672 = 2101119591613
BaseRepresentation
bin10010111101111110…
…111011110000000000
31221120102121001011212
4102331332323300000
5313203004320142
613205005025252
71320501600503
oct227576736000
957512531155
1020367260672
118701873440
123b44b55228
131bc77c5445
14db2da713a
157e3113d82
hex4bdfbbc00

20367260672 has 176 divisors, whose sum is σ = 47575555200. Its totient is φ = 8616591360.

The previous prime is 20367260647. The next prime is 20367260681. The reversal of 20367260672 is 27606276302.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12626138 + ... + 12627750.

Almost surely, 220367260672 is an apocalyptic number.

20367260672 is a gapful number since it is divisible by the number (22) 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 20367260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23787777600).

20367260672 is an abundant number, since it is smaller than the sum of its proper divisors (27208294528).

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

20367260672 is a wasteful number, since it uses less digits than its factorization.

20367260672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 41.

The spelling of 20367260672 in words is "twenty billion, three hundred sixty-seven million, two hundred sixty thousand, six hundred seventy-two".