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20331294480 = 243257291131231
BaseRepresentation
bin10010111011110101…
…101110111100010000
31221110220220202211200
4102323311232330100
5313114302410410
613201242111200
71316554103010
oct227365567420
957426822750
1020331294480
118693538512
123b34aab500
131bc0211983
14dac2c3c40
157dedac3c0
hex4bbd6ef10

20331294480 has 480 divisors, whose sum is σ = 81504783360. Its totient is φ = 4443586560.

The previous prime is 20331294463. The next prime is 20331294547. The reversal of 20331294480 is 8449213302.

20331294480 is a `hidden beast` number, since 20 + 33 + 129 + 4 + 480 = 666.

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 95 ways as a sum of consecutive naturals, for example, 16515465 + ... + 16516695.

It is an arithmetic number, because the mean of its divisors is an integer number (169801632).

Almost surely, 220331294480 is an apocalyptic number.

20331294480 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 20331294480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40752391680).

20331294480 is an abundant number, since it is smaller than the sum of its proper divisors (61173488880).

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

20331294480 is a wasteful number, since it uses less digits than its factorization.

20331294480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

It can be divided in two parts, 203312 and 94480, that added together give a palindrome (297792).

The spelling of 20331294480 in words is "twenty billion, three hundred thirty-one million, two hundred ninety-four thousand, four hundred eighty".