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20360652480 = 2634572172341
BaseRepresentation
bin10010111101100101…
…101110011011000000
31221112222011022110000
4102331211232123000
5313144311334410
613204211240000
71320361455600
oct227545563300
957488138400
1020360652480
1186a906a623
123b428a9000
131bc632067c
14db2166c00
157e275adc0
hex4bd96e6c0

20360652480 has 1680 divisors, whose sum is σ = 95356046016. Its totient is φ = 4087480320.

The previous prime is 20360652479. The next prime is 20360652523. The reversal of 20360652480 is 8425606302.

20360652480 is a `hidden beast` number, since 2 + 0 + 3 + 606 + 5 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×203606524802 (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 an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 496601260 + ... + 496601300.

Almost surely, 220360652480 is an apocalyptic number.

20360652480 is a gapful number since it is divisible by the number (20) 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 20360652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47678023008).

20360652480 is an abundant number, since it is smaller than the sum of its proper divisors (74995393536).

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

20360652480 is a wasteful number, since it uses less digits than its factorization.

20360652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 20360652480 in words is "twenty billion, three hundred sixty million, six hundred fifty-two thousand, four hundred eighty".