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20966335040 = 26579359971
BaseRepresentation
bin10011100001101100…
…001110001001000000
32000010011212011201102
4103201230032021000
5320414340210130
613344245153532
71341364623140
oct234154161100
960104764642
1020966335040
118989a49922
1240916bb8a8
131c91958911
14102c78c920
1582a9ec645
hex4e1b0e240

20966335040 has 56 divisors (see below), whose sum is σ = 57058389312. Its totient is φ = 7188456960.

The previous prime is 20966335021. The next prime is 20966335067. The reversal of 20966335040 is 4053366902.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 20966334985 and 20966335003.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4677746 + ... + 4682225.

Almost surely, 220966335040 is an apocalyptic number.

20966335040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20966335040 is an abundant number, since it is smaller than the sum of its proper divisors (36092054272).

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

20966335040 is an equidigital number, since it uses as much as digits as its factorization.

20966335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9359995 (or 9359985 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 38.

The spelling of 20966335040 in words is "twenty billion, nine hundred sixty-six million, three hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 9359971 18719942 37439884 46799855 65519797 74879768 93599710 131039594 149759536 187199420 262079188 299519072 327598985 374398840 524158376 599038144 655197970 748797680 1048316752 1310395940 1497595360 2096633504 2620791880 2995190720 4193267008 5241583760 10483167520 20966335040