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48253646112 = 25374209347
BaseRepresentation
bin101100111100001001…
…000011010100100000
311121112212202012110020
4230330021003110200
51242310413133422
634100055033440
73325525140000
oct547411032440
9147485665406
1048253646112
1119511a1a581
12942806b880
134720013829
14249a820000
1513c63d695c
hexb3c243520

48253646112 has 120 divisors (see below), whose sum is σ = 147768704496. Its totient is φ = 13786690176.

The previous prime is 48253646081. The next prime is 48253646117. The reversal of 48253646112 is 21164635284.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (48253646117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125823 + ... + 335169.

Almost surely, 248253646112 is an apocalyptic number.

48253646112 is a gapful number since it is divisible by the number (42) 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 48253646112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73884352248).

48253646112 is an abundant number, since it is smaller than the sum of its proper divisors (99515058384).

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

48253646112 is an equidigital number, since it uses as much as digits as its factorization.

48253646112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209388 (or 209359 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The spelling of 48253646112 in words is "forty-eight billion, two hundred fifty-three million, six hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2401 2744 4116 4704 4802 5488 7203 8232 9604 10976 14406 16464 19208 28812 32928 38416 57624 76832 115248 209347 230496 418694 628041 837388 1256082 1465429 1674776 2512164 2930858 3349552 4396287 5024328 5861716 6699104 8792574 10048656 10258003 11723432 17585148 20097312 20516006 23446864 30774009 35170296 41032012 46893728 61548018 70340592 71806021 82064024 123096036 140681184 143612042 164128048 215418063 246192072 287224084 328256096 430836126 492384144 502642147 574448168 861672252 984768288 1005284294 1148896336 1507926441 1723344504 2010568588 2297792672 3015852882 3446689008 4021137176 6031705764 6893378016 8042274352 12063411528 16084548704 24126823056 48253646112