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105425674368 = 273739220861
BaseRepresentation
bin110001000101111011…
…1000010000010000000
3101002010022000011021020
41202023313002002000
53211402433034433
6120233142025440
710421355306060
oct1421367020200
9332108004236
10105425674368
1140790054603
1218522a18280
139c318cba51
14516188b3a0
152b20726cb3
hex188bdc2080

105425674368 has 64 divisors (see below), whose sum is σ = 320042233920. Its totient is φ = 30121620480.

The previous prime is 105425674327. The next prime is 105425674391. The reversal of 105425674368 is 863476524501.

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

It is a super-2 number, since 2×1054256743682 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105425674368.

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, 19607743 + ... + 19613118.

It is an arithmetic number, because the mean of its divisors is an integer number (5000659905).

Almost surely, 2105425674368 is an apocalyptic number.

It is an amenable number.

105425674368 is an abundant number, since it is smaller than the sum of its proper divisors (214616559552).

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

105425674368 is an equidigital number, since it uses as much as digits as its factorization.

105425674368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39220885 (or 39220873 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 105425674368 in words is "one hundred five billion, four hundred twenty-five million, six hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 39220861 78441722 117662583 156883444 235325166 274546027 313766888 470650332 549092054 627533776 823638081 941300664 1098184108 1255067552 1647276162 1882601328 2196368216 2510135104 3294552324 3765202656 4392736432 5020270208 6589104648 7530405312 8785472864 13178209296 15060810624 17570945728 26356418592 35141891456 52712837184 105425674368