Search a number
-
+
13643074053 = 347311097121
BaseRepresentation
bin11001011010011000…
…01100101000000101
31022012210211222020000
430231030030220011
5210420111332203
610133442231513
7662042134050
oct145514145005
938183758200
1013643074053
115871183514
122789055599
13139569c3ab
14935d25a97
1554cb2c4a3
hex32d30ca05

13643074053 has 80 divisors (see below), whose sum is σ = 24267217920. Its totient is φ = 7474291200.

The previous prime is 13643074043. The next prime is 13643074117. The reversal of 13643074053 is 35047034631.

13643074053 is a `hidden beast` number, since 1 + 3 + 643 + 0 + 7 + 4 + 0 + 5 + 3 = 666.

It is not a de Polignac number, because 13643074053 - 26 = 13643073989 is a prime.

It is a super-2 number, since 2×136430740532 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13643073999 and 13643074017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13643074043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1912333 + ... + 1919453.

It is an arithmetic number, because the mean of its divisors is an integer number (303340224).

Almost surely, 213643074053 is an apocalyptic number.

It is an amenable number.

13643074053 is a deficient number, since it is larger than the sum of its proper divisors (10624143867).

13643074053 is a wasteful number, since it uses less digits than its factorization.

13643074053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 13643074053 in words is "thirteen billion, six hundred forty-three million, seventy-four thousand, fifty-three".

Divisors: 1 3 7 9 21 27 31 63 81 93 109 189 217 279 327 567 651 763 837 981 1953 2289 2511 2943 3379 5859 6867 7121 8829 10137 17577 20601 21363 23653 30411 49847 61803 64089 70959 91233 149541 192267 212877 220751 273699 448623 576801 638631 662253 776189 1345869 1545257 1915893 1986759 2328567 4037607 4635771 5433323 5960277 6985701 13907313 16299969 17880831 20957103 24061859 41721939 48899907 62871309 72185577 125165817 146699721 168433013 216556731 440099163 505299039 649670193 1515897117 1949010579 4547691351 13643074053