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10402444512 = 253297372367
BaseRepresentation
bin10011011000000100…
…01011010011100000
3222211222000221012200
421230002023103200
5132301011211022
64440120253200
7515532214365
oct115402132340
928758027180
1010402444512
1144589aa589
122023911200
13c9a1a6615
147097a246c
1540d3a5bac
hex26c08b4e0

10402444512 has 72 divisors (see below), whose sum is σ = 29887000416. Its totient is φ = 3431725056.

The previous prime is 10402444499. The next prime is 10402444541. The reversal of 10402444512 is 21544420401.

10402444512 is a `hidden beast` number, since 104 + 0 + 2 + 4 + 44 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 158248 + ... + 214119.

It is an arithmetic number, because the mean of its divisors is an integer number (415097228).

Almost surely, 210402444512 is an apocalyptic number.

10402444512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10402444512 is an abundant number, since it is smaller than the sum of its proper divisors (19484555904).

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

10402444512 is a wasteful number, since it uses less digits than its factorization.

10402444512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372480 (or 372469 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 10402444512 its reverse (21544420401), we get a palindrome (31946864913).

The spelling of 10402444512 in words is "ten billion, four hundred two million, four hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1164 1552 1746 2328 3104 3492 4656 6984 9312 13968 27936 372367 744734 1117101 1489468 2234202 2978936 3351303 4468404 5957872 6702606 8936808 11915744 13405212 17873616 26810424 35747232 36119599 53620848 72239198 107241696 108358797 144478396 216717594 288956792 325076391 433435188 577913584 650152782 866870376 1155827168 1300305564 1733740752 2600611128 3467481504 5201222256 10402444512