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13276114074 = 232191011971951
BaseRepresentation
bin11000101110101000…
…10110110010011010
31021021020100110202200
430113110112302122
5204142141122244
610033213111030
7646665051636
oct142724266232
937236313680
1013276114074
1156a3025003
1226a6188476
131337658702
148dd2c1dc6
1552a7e3669
hex317516c9a

13276114074 has 96 divisors (see below), whose sum is σ = 30749621760. Its totient is φ = 4127760000.

The previous prime is 13276114051. The next prime is 13276114091. The reversal of 13276114074 is 47041167231.

13276114074 is a `hidden beast` number, since 1 + 32 + 7 + 611 + 4 + 0 + 7 + 4 = 666.

13276114074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 6803799 + ... + 6805749.

It is an arithmetic number, because the mean of its divisors is an integer number (320308560).

Almost surely, 213276114074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13276114074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15374810880).

13276114074 is an abundant number, since it is smaller than the sum of its proper divisors (17473507686).

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

13276114074 is a wasteful number, since it uses less digits than its factorization.

13276114074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13276114074 in words is "thirteen billion, two hundred seventy-six million, one hundred fourteen thousand, seventy-four".

Divisors: 1 2 3 6 9 18 19 38 57 101 114 171 197 202 303 342 394 591 606 909 1182 1773 1818 1919 1951 3546 3743 3838 3902 5757 5853 7486 11229 11514 11706 17271 17559 19897 22458 33687 34542 35118 37069 39794 59691 67374 74138 111207 119382 179073 197051 222414 333621 358146 378043 384347 394102 591153 667242 756086 768694 1134129 1153041 1182306 1773459 2268258 2306082 3402387 3459123 3546918 3743969 6804774 6918246 7302593 7487938 11231907 14605186 21907779 22463814 33695721 38819047 43815558 65723337 67391442 77638094 116457141 131446674 232914282 349371423 698742846 737561893 1475123786 2212685679 4425371358 6638057037 13276114074