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13642073046 = 23272127121789
BaseRepresentation
bin11001011010010000…
…11000001111010110
31022012201222010002200
430231020120033112
5210414332314141
610133404545330
7662030464500
oct145510301726
938181863080
1013642073046
11587065a438
122788852246
13139540b894
14935b44d70
1554c9d0ab6
hex32d2183d6

13642073046 has 72 divisors (see below), whose sum is σ = 34654613760. Its totient is φ = 3867012576.

The previous prime is 13642073021. The next prime is 13642073047. The reversal of 13642073046 is 64037024631.

It is a happy number.

13642073046 is a `hidden beast` number, since 1 + 3 + 642 + 0 + 7 + 3 + 0 + 4 + 6 = 666.

It is a super-2 number, since 2×136420730462 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13642073046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642073047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51120 + ... + 172908.

It is an arithmetic number, because the mean of its divisors is an integer number (481314080).

Almost surely, 213642073046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13642073046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17327306880).

13642073046 is an abundant number, since it is smaller than the sum of its proper divisors (21012540714).

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

13642073046 is a wasteful number, since it uses less digits than its factorization.

13642073046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121938 (or 121928 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 13642073046 its reverse (64037024631), we get a palindrome (77679097677).

The spelling of 13642073046 in words is "thirteen billion, six hundred forty-two million, seventy-three thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 127 147 254 294 381 441 762 882 889 1143 1778 2286 2667 5334 6223 8001 12446 16002 18669 37338 56007 112014 121789 243578 365367 730734 852523 1096101 1705046 2192202 2557569 5115138 5967661 7672707 11935322 15345414 15467203 17902983 30934406 35805966 46401609 53708949 92803218 107417898 108270421 139204827 216540842 278409654 324811263 649622526 757892947 974433789 1515785894 1948867578 2273678841 4547357682 6821036523 13642073046