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13036153856 = 210114212749
BaseRepresentation
bin11000010010000001…
…11110110000000000
31020122111211020020012
430021000332300000
5203144223410411
65553322004052
7641022323315
oct141100766000
936574736205
1013036153856
11558a629380
122639946628
1312c9a1ca0b
148b949ad0c
155146e418b
hex30903ec00

13036153856 has 88 divisors (see below), whose sum is σ = 28506522000. Its totient is φ = 5909299200.

The previous prime is 13036153829. The next prime is 13036153861. The reversal of 13036153856 is 65835163031.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4740770 + ... + 4743518.

It is an arithmetic number, because the mean of its divisors is an integer number (323937750).

Almost surely, 213036153856 is an apocalyptic number.

13036153856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13036153856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14253261000).

13036153856 is an abundant number, since it is smaller than the sum of its proper divisors (15470368144).

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

13036153856 is a wasteful number, since it uses less digits than its factorization.

13036153856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 13036153856 in words is "thirteen billion, thirty-six million, one hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 421 512 704 842 1024 1408 1684 2749 2816 3368 4631 5498 5632 6736 9262 10996 11264 13472 18524 21992 26944 30239 37048 43984 53888 60478 74096 87968 107776 120956 148192 175936 215552 241912 296384 351872 431104 483824 592768 703744 967648 1157329 1185536 1407488 1935296 2314658 2371072 2814976 3870592 4629316 4742144 7741184 9258632 12730619 15482368 18517264 25461238 30964736 37034528 50922476 74069056 101844952 148138112 203689904 296276224 407379808 592552448 814759616 1185104896 1629519232 3259038464 6518076928 13036153856