Search a number
-
+
13354866528 = 2531719430691
BaseRepresentation
bin11000111000000001…
…10001011101100000
31021110201112111211020
430130000301131200
5204322321212103
610045105045440
7651642330633
oct143400613540
937421474736
1013354866528
115733523983
122708626880
13134aa6ccb3
14909941c1a
1553269c753
hex31c031760

13354866528 has 96 divisors (see below), whose sum is σ = 39072378240. Its totient is φ = 3969239040.

The previous prime is 13354866517. The next prime is 13354866529. The reversal of 13354866528 is 82566845331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13354866529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184338 + ... + 246353.

It is an arithmetic number, because the mean of its divisors is an integer number (407003940).

Almost surely, 213354866528 is an apocalyptic number.

It is an amenable number.

13354866528 is an abundant number, since it is smaller than the sum of its proper divisors (25717511712).

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

13354866528 is a wasteful number, since it uses less digits than its factorization.

13354866528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430740 (or 430732 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The spelling of 13354866528 in words is "thirteen billion, three hundred fifty-four million, eight hundred sixty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 408 456 544 608 646 816 912 969 1292 1632 1824 1938 2584 3876 5168 7752 10336 15504 31008 430691 861382 1292073 1722764 2584146 3445528 5168292 6891056 7321747 8183129 10336584 13782112 14643494 16366258 20673168 21965241 24549387 29286988 32732516 41346336 43930482 49098774 58573976 65465032 87860964 98197548 117147952 130930064 139113193 175721928 196395096 234295904 261860128 278226386 351443856 392790192 417339579 556452772 702887712 785580384 834679158 1112905544 1669358316 2225811088 3338716632 4451622176 6677433264 13354866528