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20181297024 = 27327792401
BaseRepresentation
bin10010110010111001…
…100010011110000000
31221002110200010000100
4102302321202132000
5312312403001044
613134323122400
71313053123440
oct226271423600
957073603010
1020181297024
1186168a8179
123ab2813400
131b98113c95
14d963da120
157d1b2d869
hex4b2e62780

20181297024 has 288 divisors, whose sum is σ = 67388433840. Its totient is φ = 5678899200.

The previous prime is 20181297007. The next prime is 20181297029. The reversal of 20181297024 is 42079218102.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×201812970242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20181297024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20181297029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50327224 + ... + 50327624.

Almost surely, 220181297024 is an apocalyptic number.

20181297024 is a gapful number since it is divisible by the number (24) 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 20181297024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33694216920).

20181297024 is an abundant number, since it is smaller than the sum of its proper divisors (47207136816).

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

20181297024 is an equidigital number, since it uses as much as digits as its factorization.

20181297024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 20181297024 in words is "twenty billion, one hundred eighty-one million, two hundred ninety-seven thousand, twenty-four".