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104134011462 = 232131761429139
BaseRepresentation
bin110000011111011011…
…1101110101001000110
3100221210021111212212100
41200332313232221012
53201231301331322
6115501041132530
710344352331025
oct1407667565106
9327707455770
10104134011462
1140187a310a8
121822232a146
139a87122780
14507c0da8bc
152a97131dac
hex183edeea46

104134011462 has 96 divisors (see below), whose sum is σ = 261490451040. Its totient is φ = 29662018560.

The previous prime is 104134011461. The next prime is 104134011463. The reversal of 104134011462 is 264110431401.

104134011462 is a `hidden beast` number, since 104 + 13 + 401 + 146 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (104134011461) and next prime (104134011463).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104134011461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28089 + ... + 457227.

It is an arithmetic number, because the mean of its divisors is an integer number (2723858865).

Almost surely, 2104134011462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104134011462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130745225520).

104134011462 is an abundant number, since it is smaller than the sum of its proper divisors (157356439578).

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

104134011462 is a wasteful number, since it uses less digits than its factorization.

104134011462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429238 (or 429235 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 104134011462 its reverse (264110431401), we get a palindrome (368244442863).

The spelling of 104134011462 in words is "one hundred four billion, one hundred thirty-four million, eleven thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 61 78 102 117 122 153 183 221 234 306 366 442 549 663 793 1037 1098 1326 1586 1989 2074 2379 3111 3978 4758 6222 7137 9333 13481 14274 18666 26962 40443 80886 121329 242658 429139 858278 1287417 2574834 3862251 5578807 7295363 7724502 11157614 14590726 16736421 21886089 26177479 33472842 43772178 50209263 52354958 65658267 78532437 94839719 100418526 131316534 157064874 189679438 235597311 284519157 340307227 445017143 471194622 569038314 680614454 853557471 890034286 1020921681 1335051429 1707114942 2041843362 2670102858 3062765043 4005154287 5785222859 6125530086 8010308574 11570445718 17355668577 34711337154 52067005731 104134011462