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12949135400 = 235264745677
BaseRepresentation
bin11000000111101010…
…00010000000101000
31020102110002020100102
430003311002000220
5203004434313100
65540532524532
7635614556225
oct140365020050
936373066312
1012949135400
1155454a40a3
122614780748
1312b49a2bc6
148abac894c
1550bc55cd5
hex303d42028

12949135400 has 24 divisors (see below), whose sum is σ = 30106740270. Its totient is φ = 5179654080.

The previous prime is 12949135319. The next prime is 12949135403. The reversal of 12949135400 is 453194921.

It can be written as a sum of positive squares in 3 ways, for example, as 4919900164 + 8029235236 = 70142^2 + 89606^2 .

It is not an unprimeable number, because it can be changed into a prime (12949135403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32372639 + ... + 32373038.

Almost surely, 212949135400 is an apocalyptic number.

12949135400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12949135400 is an abundant number, since it is smaller than the sum of its proper divisors (17157604870).

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

12949135400 is a wasteful number, since it uses less digits than its factorization.

12949135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64745693 (or 64745684 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 12949135400 in words is "twelve billion, nine hundred forty-nine million, one hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 64745677 129491354 258982708 323728385 517965416 647456770 1294913540 1618641925 2589827080 3237283850 6474567700 12949135400