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213221680480 = 2551332635503
BaseRepresentation
bin1100011010010100000…
…0001010010101100000
3202101100210012122102001
43012211000022111200
511443134222233410
6241541440333344
721255555244264
oct3064500122540
9671323178361
10213221680480
1182477097466
12353a7614254
13171505c9453
14a46a0740a4
15582e0b433a
hex31a500a560

213221680480 has 24 divisors (see below), whose sum is σ = 503736220512. Its totient is φ = 85288672128.

The previous prime is 213221680429. The next prime is 213221680487. The reversal of 213221680480 is 84086122312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213221680487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 666317592 + ... + 666317911.

It is an arithmetic number, because the mean of its divisors is an integer number (20989009188).

Almost surely, 2213221680480 is an apocalyptic number.

213221680480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213221680480 is an abundant number, since it is smaller than the sum of its proper divisors (290514540032).

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

213221680480 is a wasteful number, since it uses less digits than its factorization.

213221680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332635518 (or 1332635510 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 213221680480 in words is "two hundred thirteen billion, two hundred twenty-one million, six hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1332635503 2665271006 5330542012 6663177515 10661084024 13326355030 21322168048 26652710060 42644336096 53305420120 106610840240 213221680480