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48388772016 = 243213163158581
BaseRepresentation
bin101101000100001100…
…100001000010110000
311121220022000022100100
4231010030201002300
51243100011201031
634121323152400
73332055530034
oct550414410260
9147808008310
1048388772016
1119581222682
129465375700
1347420054a0
1424b07561c4
1513d31c8de6
hexb443210b0

48388772016 has 120 divisors (see below), whose sum is σ = 146734021616. Its totient is φ = 14797416960.

The previous prime is 48388771993. The next prime is 48388772051. The reversal of 48388772016 is 61027788384.

It is a happy number.

48388772016 is a `hidden beast` number, since 483 + 8 + 87 + 72 + 0 + 16 = 666.

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, 225846 + ... + 384426.

Almost surely, 248388772016 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 48388772016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73367010808).

48388772016 is an abundant number, since it is smaller than the sum of its proper divisors (98345249600).

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

48388772016 is a wasteful number, since it uses less digits than its factorization.

48388772016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158771 (or 158762 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 48388772016 in words is "forty-eight billion, three hundred eighty-eight million, seven hundred seventy-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 163 208 234 312 326 468 489 624 652 936 978 1304 1467 1872 1956 2119 2608 2934 3912 4238 5868 6357 7824 8476 11736 12714 16952 19071 23472 25428 33904 38142 50856 76284 101712 152568 158581 305136 317162 475743 634324 951486 1268648 1427229 1902972 2061553 2537296 2854458 3805944 4123106 5708916 6184659 7611888 8246212 11417832 12369318 16492424 18553977 22835664 24738636 25848703 32984848 37107954 49477272 51697406 74215908 77546109 98954544 103394812 148431816 155092218 206789624 232638327 296863632 310184436 336033139 413579248 465276654 620368872 672066278 930553308 1008099417 1240737744 1344132556 1861106616 2016198834 2688265112 3024298251 3722213232 4032397668 5376530224 6048596502 8064795336 12097193004 16129590672 24194386008 48388772016