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13166705454 = 23729311073259
BaseRepresentation
bin11000100001100101…
…11111101100101110
31020222121110221100120
430100302333230232
5203431134033304
610014304105410
7644166102240
oct142062775456
936877427316
1013166705454
115647297761
122675605266
13131aa9c596
148cc962090
15520dd10d9
hex310cbfb2e

13166705454 has 128 divisors (see below), whose sum is σ = 32447692800. Its totient is φ = 3481107840.

The previous prime is 13166705429. The next prime is 13166705471. The reversal of 13166705454 is 45450766131.

It is a super-2 number, since 2×131667054542 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4038477 + ... + 4041735.

It is an arithmetic number, because the mean of its divisors is an integer number (253497600).

Almost surely, 213166705454 is an apocalyptic number.

13166705454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13166705454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16223846400).

13166705454 is an abundant number, since it is smaller than the sum of its proper divisors (19280987346).

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

13166705454 is a wasteful number, since it uses less digits than its factorization.

13166705454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438.

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 13166705454 in words is "thirteen billion, one hundred sixty-six million, seven hundred five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 29 31 42 58 62 87 93 107 174 186 203 214 217 321 406 434 609 642 651 749 899 1218 1302 1498 1798 2247 2697 3103 3259 3317 4494 5394 6206 6293 6518 6634 9309 9777 9951 12586 18618 18879 19554 19902 21721 22813 23219 37758 43442 45626 46438 65163 68439 69657 94511 96193 101029 130326 136878 139314 189022 192386 202058 283533 288579 303087 348713 567066 577158 606174 661577 673351 697426 707203 1046139 1323154 1346702 1414406 1984731 2020053 2092278 2121609 2440991 2929841 3969462 4040106 4243218 4881982 5859682 7322973 8789523 10112677 10810103 14645946 17579046 20225354 20508887 21620206 30338031 32430309 41017774 60676062 61526661 64860618 70788739 75670721 123053322 141577478 151341442 212366217 227012163 313492987 424732434 454024326 626985974 940478961 1880957922 2194450909 4388901818 6583352727 13166705454