Search a number
-
+
138068604567 = 33611033112617
BaseRepresentation
bin1000000010010110000…
…1111011011010010111
3111012101020102211022000
42000211201323122113
54230231030321232
6143232225210343
712655316526555
oct2004541733227
9435336384260
10138068604567
1153611145173
1222912a909b3
13100346b826a
14697ad10bd5
1538d13b127c
hex202587b697

138068604567 has 64 divisors (see below), whose sum is σ = 210673182720. Its totient is φ = 89335353600.

The previous prime is 138068604551. The next prime is 138068604571. The reversal of 138068604567 is 765406860831.

138068604567 is a `hidden beast` number, since 13 + 8 + 0 + 6 + 8 + 60 + 4 + 567 = 666.

It is not a de Polignac number, because 138068604567 - 24 = 138068604551 is a prime.

It is a super-2 number, since 2×1380686045672 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138068624567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52757043 + ... + 52759659.

It is an arithmetic number, because the mean of its divisors is an integer number (3291768480).

Almost surely, 2138068604567 is an apocalyptic number.

138068604567 is a deficient number, since it is larger than the sum of its proper divisors (72604578153).

138068604567 is a wasteful number, since it uses less digits than its factorization.

138068604567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 138068604567 in words is "one hundred thirty-eight billion, sixty-eight million, six hundred four thousand, five hundred sixty-seven".

Divisors: 1 3 9 27 61 103 183 309 311 549 927 933 1647 2617 2781 2799 6283 7851 8397 18849 18971 23553 32033 56547 56913 70659 96099 159637 169641 170739 269551 288297 478911 512217 808653 813887 864891 1436733 1954013 2425959 2441661 4310199 5862039 7277877 7324983 16442611 17586117 21974949 49327833 49647107 52758351 83830361 147983499 148941321 251491083 443950497 446823963 754473249 1340471889 2263419747 5113652021 15340956063 46022868189 138068604567