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12951938000 = 24536475969
BaseRepresentation
bin11000000111111111…
…01110001111010000
31020102122100121210102
430003333232033100
5203011144004000
65541112551532
7635650441121
oct140377561720
936378317712
1012951938000
1155470387a1
1226156b25a8
1312b5444751
148ac218048
1550c10b3d5
hex303fee3d0

12951938000 has 40 divisors (see below), whose sum is σ = 31317790920. Its totient is φ = 5180774400.

The previous prime is 12951937987. The next prime is 12951938029. The reversal of 12951938000 is 83915921.

It can be written as a sum of positive squares in 4 ways, for example, as 71503936 + 12880434064 = 8456^2 + 113492^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3235985 + ... + 3239984.

It is an arithmetic number, because the mean of its divisors is an integer number (782944773).

Almost surely, 212951938000 is an apocalyptic number.

12951938000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12951938000 is an abundant number, since it is smaller than the sum of its proper divisors (18365852920).

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

12951938000 is an equidigital number, since it uses as much as digits as its factorization.

12951938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6475992 (or 6475976 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The spelling of 12951938000 in words is "twelve billion, nine hundred fifty-one million, nine hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6475969 12951938 25903876 32379845 51807752 64759690 103615504 129519380 161899225 259038760 323798450 518077520 647596900 809496125 1295193800 1618992250 2590387600 3237984500 6475969000 12951938000