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11838048214248 = 2332296192943661
BaseRepresentation
bin1010110001000100001010…
…1010001001110011101000
31112220201001221012222002100
42230101002222021303220
53022423310320323443
641102154013133400
72331161604363564
oct254210252116350
945821057188070
1011838048214248
113854540666173
1213b236248a260
1367b427c8a269
142ccd70ba06a4
15157e04e463d3
hexac442a89ce8

11838048214248 has 96 divisors (see below), whose sum is σ = 33710666207400. Its totient is φ = 3747488371200.

The previous prime is 11838048214231. The next prime is 11838048214259. The reversal of 11838048214248 is 84241284083811.

11838048214248 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 80 + 482 + 1 + 42 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9911276575524 + 1926771638724 = 3148218^2 + 1388082^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11838048214194 and 11838048214203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46344463 + ... + 46599198.

Almost surely, 211838048214248 is an apocalyptic number.

11838048214248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11838048214248 is an abundant number, since it is smaller than the sum of its proper divisors (21872617993152).

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

11838048214248 is a wasteful number, since it uses less digits than its factorization.

11838048214248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92943763 (or 92943756 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 11838048214248 in words is "eleven trillion, eight hundred thirty-eight billion, forty-eight million, two hundred fourteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 61 72 87 116 122 174 183 232 244 261 348 366 488 522 549 696 732 1044 1098 1464 1769 2088 2196 3538 4392 5307 7076 10614 14152 15921 21228 31842 42456 63684 127368 92943661 185887322 278830983 371774644 557661966 743549288 836492949 1115323932 1672985898 2230647864 2695366169 3345971796 5390732338 5669563321 6691943592 8086098507 10781464676 11339126642 16172197014 17008689963 21562929352 22678253284 24258295521 32344394028 34017379926 45356506568 48516591042 51026069889 64688788056 68034759852 97033182084 102052139778 136069519704 164417336309 194066364168 204104279556 328834672618 408208559112 493252008927 657669345236 986504017854 1315338690472 1479756026781 1973008035708 2959512053562 3946016071416 5919024107124 11838048214248