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13936849408 = 291011811489
BaseRepresentation
bin11001111101011001…
…10111001000000000
31022222021122022020201
430332230313020000
5212020313140113
610222535014544
71002240160006
oct147654671000
938867568221
1013936849408
115a01a96269
12284b50a454
1314114cab71
14962d58a76
1556880bcdd
hex33eb37200

13936849408 has 80 divisors (see below), whose sum is σ = 28296548280. Its totient is φ = 6856704000.

The previous prime is 13936849387. The next prime is 13936849457. The reversal of 13936849408 is 80494863931.

It can be written as a sum of positive squares in 4 ways, for example, as 9597729024 + 4339120384 = 97968^2 + 65872^2 .

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, 9359128 + ... + 9360616.

Almost surely, 213936849408 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 13936849408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148274140).

13936849408 is an abundant number, since it is smaller than the sum of its proper divisors (14359698872).

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

13936849408 is a wasteful number, since it uses less digits than its factorization.

13936849408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 13936849408 in words is "thirteen billion, nine hundred thirty-six million, eight hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 101 128 181 202 256 362 404 512 724 808 1448 1489 1616 2896 2978 3232 5792 5956 6464 11584 11912 12928 18281 23168 23824 25856 36562 46336 47648 51712 73124 92672 95296 146248 150389 190592 269509 292496 300778 381184 539018 584992 601556 762368 1078036 1169984 1203112 2156072 2339968 2406224 4312144 4679936 4812448 8624288 9359872 9624896 17248576 19249792 27220409 34497152 38499584 54440818 68994304 76999168 108881636 137988608 217763272 435526544 871053088 1742106176 3484212352 6968424704 13936849408