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104515145112 = 23372373336901
BaseRepresentation
bin110000101010110010…
…1101000110110011000
3100222202211200110221110
41201111211220312120
53203021334120422
6120002534140320
710356661034610
oct1412545506630
9328684613843
10104515145112
1140363090494
1218309ab16a0
139b18089941
1450b698da40
152aba81a60c
hex1855968d98

104515145112 has 128 divisors (see below), whose sum is σ = 312031503360. Its totient is φ = 28523404800.

The previous prime is 104515145027. The next prime is 104515145149. The reversal of 104515145112 is 211541515401.

It is a self number, because there is not a number n which added to its sum of digits gives 104515145112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2813862 + ... + 2850762.

It is an arithmetic number, because the mean of its divisors is an integer number (2437746120).

Almost surely, 2104515145112 is an apocalyptic number.

104515145112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104515145112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156015751680).

104515145112 is an abundant number, since it is smaller than the sum of its proper divisors (207516358248).

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

104515145112 is a wasteful number, since it uses less digits than its factorization.

104515145112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37673 (or 37669 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 30.

The spelling of 104515145112 in words is "one hundred four billion, five hundred fifteen million, one hundred forty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 733 966 1288 1466 1932 2199 2932 3864 4398 5131 5864 8796 10262 15393 16859 17592 20524 30786 33718 36901 41048 50577 61572 67436 73802 101154 110703 118013 123144 134872 147604 202308 221406 236026 258307 295208 354039 404616 442812 472052 516614 708078 774921 848723 885624 944104 1033228 1416156 1549842 1697446 2066456 2546169 2832312 3099684 3394892 5092338 5941061 6199368 6789784 10184676 11882122 17823183 20369352 23764244 27048433 35646366 47528488 54096866 71292732 81145299 108193732 142585464 162290598 189339031 216387464 324581196 378678062 568017093 622113959 649162392 757356124 1136034186 1244227918 1514712248 1866341877 2272068372 2488455836 3732683754 4354797713 4544136744 4976911672 7465367508 8709595426 13064393139 14930735016 17419190852 26128786278 34838381704 52257572556 104515145112