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13263284848104 = 23362274225797
BaseRepresentation
bin1100000100000001100101…
…1000011100010111101000
31201221221212010101121000000
43001000121120130113220
53214301201410114404
644113022520343000
72536145364030624
oct301003130342750
951857763347000
1013263284848104
114253a22583a55
1215a261b314a60
13752951140275
1433bd36d50184
1518001d91c339
hexc101961c5e8

13263284848104 has 56 divisors (see below), whose sum is σ = 37285931958210. Its totient is φ = 4421094947424.

The previous prime is 13263284848097. The next prime is 13263284848141. The reversal of 13263284848104 is 40184848236231.

13263284848104 is a `hidden beast` number, since 1 + 3 + 2 + 63 + 28 + 484 + 81 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8495184622500 + 4768100225604 = 2914650^2 + 2183598^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1137107067 + ... + 1137118730.

Almost surely, 213263284848104 is an apocalyptic number.

It is an amenable number.

13263284848104 is an abundant number, since it is smaller than the sum of its proper divisors (24022647110106).

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

13263284848104 is an equidigital number, since it uses as much as digits as its factorization.

13263284848104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274225821 (or 2274225802 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

It can be divided in two parts, 132 and 63284848104, that added together give a palindrome (63284848236).

The spelling of 13263284848104 in words is "thirteen trillion, two hundred sixty-three billion, two hundred eighty-four million, eight hundred forty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 2274225797 4548451594 6822677391 9096903188 13645354782 18193806376 20468032173 27290709564 40936064346 54581419128 61404096519 81872128692 122808193038 163744257384 184212289557 245616386076 368424579114 491232772152 552636868671 736849158228 1105273737342 1473698316456 1657910606013 2210547474684 3315821212026 4421094949368 6631642424052 13263284848104