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48272781212856 = 233223283103004347
BaseRepresentation
bin10101111100111011000011…
…11110011111110010111000
320022220211111010021210100100
422332131201332133302320
522311400123442302411
6250400113132235400
713111410343110024
oct1276354176376270
9208824433253310
1048272781212856
111442140a5869a2
1254b770890bb60
1320c2146ba52c5
14bcc5b4d85384
1558aa44990456
hex2be761f9fcb8

48272781212856 has 96 divisors (see below), whose sum is σ = 136905139013760. Its totient is φ = 15336935102016.

The previous prime is 48272781212801. The next prime is 48272781212857. The reversal of 48272781212856 is 65821218727284.

48272781212856 is a `hidden beast` number, since 4 + 8 + 272 + 7 + 81 + 2 + 1 + 285 + 6 = 666.

It is a super-2 number, since 2×482727812128562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48272781212793 and 48272781212802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48272781212857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51033526 + ... + 51970821.

It is an arithmetic number, because the mean of its divisors is an integer number (1426095198060).

Almost surely, 248272781212856 is an apocalyptic number.

48272781212856 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

48272781212856 is an abundant number, since it is smaller than the sum of its proper divisors (88632357800904).

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

48272781212856 is a wasteful number, since it uses less digits than its factorization.

48272781212856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103004665 (or 103004658 counting only the distinct ones).

The product of its digits is 48168960, while the sum is 63.

The spelling of 48272781212856 in words is "forty-eight trillion, two hundred seventy-two billion, seven hundred eighty-one million, two hundred twelve thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 283 414 552 566 828 849 1132 1656 1698 2264 2547 3396 5094 6509 6792 10188 13018 19527 20376 26036 39054 52072 58581 78108 117162 156216 234324 468648 103004347 206008694 309013041 412017388 618026082 824034776 927039123 1236052164 1854078246 2369099981 2472104328 3708156492 4738199962 7107299943 7416312984 9476399924 14214599886 18952799848 21321899829 28429199772 29150230201 42643799658 56858399544 58300460402 85287599316 87450690603 116600920804 170575198632 174901381206 233201841608 262352071809 349802762412 524704143618 670455294623 699605524824 1049408287236 1340910589246 2011365883869 2098816574472 2681821178492 4022731767738 5363642356984 6034097651607 8045463535476 12068195303214 16090927070952 24136390606428 48272781212856