Search a number
-
+
32109084768 = 2533110789343
BaseRepresentation
bin11101111001110110…
…011100000001100000
310001212201220111202210
4131321312130001200
51011224411203033
622430053042120
72214456501015
oct357166340140
9101781814683
1032109084768
11126878176a2
126281326340
133049314057
1417a85bb70c
15c7dd87d63
hex779d9c060

32109084768 has 48 divisors (see below), whose sum is σ = 87005270016. Its totient is φ = 10357768320.

The previous prime is 32109084677. The next prime is 32109084803. The reversal of 32109084768 is 86748090123.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×321090847682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5391696 + ... + 5397647.

It is an arithmetic number, because the mean of its divisors is an integer number (1812609792).

Almost surely, 232109084768 is an apocalyptic number.

It is an amenable number.

32109084768 is an abundant number, since it is smaller than the sum of its proper divisors (54896185248).

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

32109084768 is a wasteful number, since it uses less digits than its factorization.

32109084768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10789387 (or 10789379 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 32109084768 in words is "thirty-two billion, one hundred nine million, eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 10789343 21578686 32368029 43157372 64736058 86314744 129472116 172629488 258944232 334469633 345258976 517888464 668939266 1003408899 1035776928 1337878532 2006817798 2675757064 4013635596 5351514128 8027271192 10703028256 16054542384 32109084768