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20869561152 = 26321122347277
BaseRepresentation
bin10011011011111011…
…000011101101000000
31222212102202112220100
4103123323003231000
5320220101424102
613330511042400
71336111225416
oct233373035500
958772675810
1020869561152
11893a361200
124065210400
131c778a466b
14101d99b2b6
15822283a1c
hex4dbec3b40

20869561152 has 504 divisors, whose sum is σ = 70322773248. Its totient is φ = 5899069440.

The previous prime is 20869561147. The next prime is 20869561157. The reversal of 20869561152 is 25116596802.

20869561152 is a `hidden beast` number, since 2 + 0 + 86 + 9 + 561 + 1 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20869561147) and next prime (20869561157).

It is a junction number, because it is equal to n+sod(n) for n = 20869561098 and 20869561107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20869561157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75341238 + ... + 75341514.

It is an arithmetic number, because the mean of its divisors is an integer number (139529312).

Almost surely, 220869561152 is an apocalyptic number.

20869561152 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 20869561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35161386624).

20869561152 is an abundant number, since it is smaller than the sum of its proper divisors (49453212096).

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

20869561152 is a wasteful number, since it uses less digits than its factorization.

20869561152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 20869561152 in words is "twenty billion, eight hundred sixty-nine million, five hundred sixty-one thousand, one hundred fifty-two".