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20231867964672 = 28357135367433
BaseRepresentation
bin1001001100110100110010…
…10011011001110100000000
32122122010222122221112100000
410212122121103121310000
510122434331144332142
6111010220345200000
74155463356140610
oct446323123316400
978563878845300
1020231867964672
1164a0318027821
1223290a3790000
13b39b1a993330
144dd3288b2a40
15251425e1514c
hex1266994d9d00

20231867964672 has 864 divisors, whose sum is σ = 75860026115328. Its totient is φ = 5235122700288.

The previous prime is 20231867964647. The next prime is 20231867964677. The reversal of 20231867964672 is 27646976813202.

20231867964672 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 1 + 86 + 7 + 96 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×202318679646722 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231867964677) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 299995468 + ... + 300062900.

It is an arithmetic number, because the mean of its divisors is an integer number (87800956152).

Almost surely, 220231867964672 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 20231867964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37930013057664).

20231867964672 is an abundant number, since it is smaller than the sum of its proper divisors (55628158150656).

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

20231867964672 is an equidigital number, since it uses as much as digits as its factorization.

20231867964672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67537 (or 67511 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 20231867964672 in words is "twenty trillion, two hundred thirty-one billion, eight hundred sixty-seven million, nine hundred sixty-four thousand, six hundred seventy-two".