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13036486656 = 2163611087
BaseRepresentation
bin11000010010000100…
…10000000000000000
31020122112110010202010
430021002100000000
5203144320033111
65553333052520
7641025210504
oct141102200000
936575403663
1013036486656
11558a836416
122639a87140
1312c9b0833b
148b9546304
1551475caa6
hex309090000

13036486656 has 136 divisors (see below), whose sum is σ = 35366101504. Its totient is φ = 4270325760.

The previous prime is 13036486643. The next prime is 13036486721. The reversal of 13036486656 is 65668463031.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 11992545 + ... + 11993631.

It is an arithmetic number, because the mean of its divisors is an integer number (260044864).

Almost surely, 213036486656 is an apocalyptic number.

13036486656 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 13036486656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683050752).

13036486656 is an abundant number, since it is smaller than the sum of its proper divisors (22329614848).

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

13036486656 is an frugal number, since it uses more digits than its factorization.

13036486656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 13036486656 in words is "thirteen billion, thirty-six million, four hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1024 1087 1464 1536 1952 2048 2174 2928 3072 3261 3904 4096 4348 5856 6144 6522 7808 8192 8696 11712 12288 13044 15616 16384 17392 23424 24576 26088 31232 32768 34784 46848 49152 52176 62464 65536 66307 69568 93696 98304 104352 124928 132614 139136 187392 196608 198921 208704 249856 265228 278272 374784 397842 417408 499712 530456 556544 749568 795684 834816 999424 1060912 1113088 1499136 1591368 1669632 1998848 2121824 2226176 2998272 3182736 3339264 3997696 4243648 4452352 5996544 6365472 6678528 8487296 8904704 11993088 12730944 13357056 16974592 17809408 25461888 26714112 33949184 35618816 50923776 53428224 67898368 71237632 101847552 106856448 135796736 203695104 213712896 271593472 407390208 543186944 814780416 1086373888 1629560832 2172747776 3259121664 4345495552 6518243328 13036486656