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36968328192 = 210334692
BaseRepresentation
bin100010011011011110…
…111110110000000000
310112102101102122121110
4202123132332300000
51101202343000232
624552155323320
72446052414325
oct423336766000
9115371378543
1036968328192
1114750726154
1271b8750540
133641c5c113
141b09abcb4c
15e65788acc
hex89b7bec00

36968328192 has 66 divisors (see below), whose sum is σ = 98562485028. Its totient is φ = 12319223808.

The previous prime is 36968328169. The next prime is 36968328193. The reversal of 36968328192 is 29182386963.

It is a super-2 number, since 2×369683281922 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36968328193) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 10655034 + ... + 10658502.

Almost surely, 236968328192 is an apocalyptic number.

36968328192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36968328192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49281242514).

36968328192 is an abundant number, since it is smaller than the sum of its proper divisors (61594156836).

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

36968328192 is an frugal number, since it uses more digits than its factorization.

36968328192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961 (or 3474 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 57.

The spelling of 36968328192 in words is "thirty-six billion, nine hundred sixty-eight million, three hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 3469 6938 10407 13876 20814 27752 41628 55504 83256 111008 166512 222016 333024 444032 666048 888064 1332096 1776128 2664192 3552256 5328384 10656768 12033961 24067922 36101883 48135844 72203766 96271688 144407532 192543376 288815064 385086752 577630128 770173504 1155260256 1540347008 2310520512 3080694016 4621041024 6161388032 9242082048 12322776064 18484164096 36968328192