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13552542126 = 2322353738461
BaseRepresentation
bin11001001111100101…
…10110000110101110
31021222111111110202200
430213302312012232
5210223422322001
610120450002330
7656562464424
oct144762660656
937874443680
1013552542126
115825069542
1227628763a6
13137c9c22c6
14927cbb114
15544be8086
hex327cb61ae

13552542126 has 96 divisors (see below), whose sum is σ = 31650046272. Its totient is φ = 4180999680.

The previous prime is 13552542119. The next prime is 13552542127. The reversal of 13552542126 is 62124525531.

13552542126 is a `hidden beast` number, since 1 + 3 + 5 + 525 + 4 + 2 + 126 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13552542127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1597536 + ... + 1605996.

It is an arithmetic number, because the mean of its divisors is an integer number (329687982).

Almost surely, 213552542126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13552542126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15825023136).

13552542126 is an abundant number, since it is smaller than the sum of its proper divisors (18097504146).

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

13552542126 is a wasteful number, since it uses less digits than its factorization.

13552542126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8618 (or 8615 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 13552542126 in words is "thirteen billion, five hundred fifty-two million, five hundred forty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 46 53 69 73 106 138 146 159 207 219 318 414 438 477 657 954 1219 1314 1679 2438 3358 3657 3869 5037 7314 7738 8461 10074 10971 11607 15111 16922 21942 23214 25383 30222 34821 50766 69642 76149 88987 152298 177974 194603 266961 389206 448433 533922 583809 617653 800883 896866 1167618 1235306 1345299 1601766 1751427 1852959 2690598 3502854 3705918 4035897 5558877 8071794 10313959 11117754 14206019 20627918 28412038 30941877 32735609 42618057 61883754 65471218 85236114 92825631 98206827 127854171 185651262 196413654 255708342 294620481 589240962 752919007 1505838014 2258757021 4517514042 6776271063 13552542126