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34886964864 = 273429721143
BaseRepresentation
bin100000011111011011…
…001101011010000000
310100001022222102212210
4200133123031122000
51032422030333424
624005444422120
72343350210553
oct403733153200
9110038872783
1034886964864
1113882867074
1269176a7940
13339c997c9b
14198d4c469a
15d92ba3729
hex81f6cd680

34886964864 has 64 divisors (see below), whose sum is σ = 92694450240. Its totient is φ = 11625732096.

The previous prime is 34886964859. The next prime is 34886964869. The reversal of 34886964864 is 46846968843.

It is an interprime number because it is at equal distance from previous prime (34886964859) and next prime (34886964869).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 34886964795 and 34886964804.

It is not an unprimeable number, because it can be changed into a prime (34886964869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1639477 + ... + 1660619.

It is an arithmetic number, because the mean of its divisors is an integer number (1448350785).

Almost surely, 234886964864 is an apocalyptic number.

It is an amenable number.

34886964864 is an abundant number, since it is smaller than the sum of its proper divisors (57807485376).

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

34886964864 is a wasteful number, since it uses less digits than its factorization.

34886964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25457 (or 25445 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 66.

The spelling of 34886964864 in words is "thirty-four billion, eight hundred eighty-six million, nine hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 4297 8594 12891 17188 21143 25782 34376 42286 51564 63429 68752 84572 103128 126858 137504 169144 206256 253716 275008 338288 412512 507432 550016 676576 825024 1014864 1353152 1650048 2029728 2706304 4059456 8118912 90851471 181702942 272554413 363405884 545108826 726811768 1090217652 1453623536 2180435304 2907247072 4360870608 5814494144 8721741216 11628988288 17443482432 34886964864