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48134582160 = 24357231245719
BaseRepresentation
bin101100110101000010…
…110110111110010000
311121020120201010102020
4230311002312332100
51242034423112120
634040203051440
73322551124530
oct546502667620
9147216633366
1048134582160
1119460798015
1293b4210b80
1347014569a2
142488aa94c0
1513bac18640
hexb350b6f90

48134582160 has 160 divisors (see below), whose sum is σ = 177948610560. Its totient is φ = 10523825664.

The previous prime is 48134582071. The next prime is 48134582173. The reversal of 48134582160 is 6128543184.

It is a happy number.

48134582160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584220 + ... + 661499.

It is an arithmetic number, because the mean of its divisors is an integer number (1112178816).

Almost surely, 248134582160 is an apocalyptic number.

48134582160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48134582160 is an abundant number, since it is smaller than the sum of its proper divisors (129814028400).

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

48134582160 is a wasteful number, since it uses less digits than its factorization.

48134582160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245765 (or 1245759 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 48134582160 in words is "forty-eight billion, one hundred thirty-four million, five hundred eighty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1840 1932 2415 2576 2760 3220 3864 4830 5520 6440 7728 9660 12880 19320 38640 1245719 2491438 3737157 4982876 6228595 7474314 8720033 9965752 12457190 14948628 17440066 18685785 19931504 24914380 26160099 28651537 29897256 34880132 37371570 43600165 49828760 52320198 57303074 59794512 69760264 74743140 85954611 87200330 99657520 104640396 114606148 130800495 139520528 143257685 149486280 171909222 174400660 200560759 209280792 229212296 261600990 286515370 298972560 343818444 348801320 401121518 418561584 429773055 458424592 523201980 573030740 601682277 687636888 697602640 802243036 859546110 1002803795 1046403960 1146061480 1203364554 1375273776 1604486072 1719092220 2005607590 2092807920 2292122960 2406729108 3008411385 3208972144 3438184440 4011215180 4813458216 6016822770 6876368880 8022430360 9626916432 12033645540 16044860720 24067291080 48134582160