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13792486144 = 28472514567
BaseRepresentation
bin11001101100001100…
…01010001100000000
31022121012222220002011
430312012022030000
5211221334024034
610200340502304
7665535124603
oct146606121400
938535886064
1013792486144
115938553a88
12280b0aa994
1313ba623808
1494bada33a
1555ace2864
hex33618a300

13792486144 has 72 divisors (see below), whose sum is σ = 28235063808. Its totient is φ = 6721152000.

The previous prime is 13792486091. The next prime is 13792486171. The reversal of 13792486144 is 44168429731.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3017749 + ... + 3022315.

It is an arithmetic number, because the mean of its divisors is an integer number (392153664).

Almost surely, 213792486144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13792486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14117531904).

13792486144 is an abundant number, since it is smaller than the sum of its proper divisors (14442577664).

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

13792486144 is an equidigital number, since it uses as much as digits as its factorization.

13792486144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881 (or 4867 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 49.

The spelling of 13792486144 in words is "thirteen billion, seven hundred ninety-two million, four hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 251 256 376 502 752 1004 1504 2008 3008 4016 4567 6016 8032 9134 11797 12032 16064 18268 23594 32128 36536 47188 64256 73072 94376 146144 188752 214649 292288 377504 429298 584576 755008 858596 1146317 1169152 1510016 1717192 2292634 3020032 3434384 4585268 6868768 9170536 13737536 18341072 27475072 36682144 53876899 54950144 73364288 107753798 146728576 215507596 293457152 431015192 862030384 1724060768 3448121536 6896243072 13792486144