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48112461377112 = 23311376029816971
BaseRepresentation
bin10101111000010000011100…
…01010110110111001011000
320022100111200011020022012010
422330020032022312321120
522301233310103031422
6250154320513545520
713064003434021056
oct1274101612667130
9208314604208163
1048112461377112
111436a420181480
125490625b752a0
1320acca75b4182
14bc4926bb71d6
155867aedc6b0c
hex2bc20e2b6e58

48112461377112 has 128 divisors (see below), whose sum is σ = 134784694137600. Its totient is φ = 14183122060800.

The previous prime is 48112461377111. The next prime is 48112461377153. The reversal of 48112461377112 is 21177316421184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48112461377111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58482787 + ... + 59299757.

It is an arithmetic number, because the mean of its divisors is an integer number (1053005422950).

Almost surely, 248112461377112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48112461377112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67392347068800).

48112461377112 is an abundant number, since it is smaller than the sum of its proper divisors (86672232760488).

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

48112461377112 is a wasteful number, since it uses less digits than its factorization.

48112461377112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823057 (or 823053 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

Adding to 48112461377112 its reverse (21177316421184), we get a palindrome (69289777798296).

The spelling of 48112461377112 in words is "forty-eight trillion, one hundred twelve billion, four hundred sixty-one million, three hundred seventy-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 6029 9768 12058 18087 24116 36174 48232 66319 72348 132638 144696 198957 223073 265276 397914 446146 530552 669219 795828 816971 892292 1338438 1591656 1633942 1784584 2450913 2453803 2676876 3267884 4901826 4907606 5353752 6535768 7361409 8986681 9803652 9815212 14722818 17973362 19607304 19630424 26960043 29445636 30227927 35946724 53920086 58891272 60455854 71893448 90683781 107840172 120911708 181367562 215680344 241823416 332507197 362735124 665014394 725470248 997521591 1330028788 1995043182 2660057576 3990086364 4925518159 7980172728 9851036318 14776554477 19702072636 29553108954 39404145272 54180699749 59106217908 108361399498 118212435816 162542099247 182244171883 216722798996 325084198494 364488343766 433445597992 546732515649 650168396988 728976687532 1093465031298 1300336793976 1457953375064 2004685890713 2186930062596 4009371781426 4373860125192 6014057672139 8018743562852 12028115344278 16037487125704 24056230688556 48112461377112