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20630756880 = 2432528653829
BaseRepresentation
bin10011001101101100…
…000101111000010000
31222020210102001000200
4103031230011320100
5314222433210010
613251100415200
71330151353146
oct231554057020
958223361020
1020630756880
118827584aa8
123bb9247500
131c3a281b66
14dd9d97596
1580b311cc0
hex4cdb05e10

20630756880 has 60 divisors (see below), whose sum is σ = 69284960940. Its totient is φ = 5501534976.

The previous prime is 20630756837. The next prime is 20630756899. The reversal of 20630756880 is 8865703602.

20630756880 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 0 + 7 + 568 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15945628176 + 4685128704 = 126276^2 + 68448^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14326195 + ... + 14327634.

It is an arithmetic number, because the mean of its divisors is an integer number (1154749349).

Almost surely, 220630756880 is an apocalyptic number.

20630756880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20630756880 is an abundant number, since it is smaller than the sum of its proper divisors (48654204060).

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

20630756880 is a wasteful number, since it uses less digits than its factorization.

20630756880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28653848 (or 28653839 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20630756880 in words is "twenty billion, six hundred thirty million, seven hundred fifty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 28653829 57307658 85961487 114615316 143269145 171922974 229230632 257884461 286538290 343845948 429807435 458461264 515768922 573076580 687691896 859614870 1031537844 1146153160 1289422305 1375383792 1719229740 2063075688 2292306320 2578844610 3438459480 4126151376 5157689220 6876918960 10315378440 20630756880