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48217225140 = 223257271141209
BaseRepresentation
bin101100111001111110…
…000111011110110100
311121110100012211021100
4230321332013132310
51242222102201030
634052314250100
73324603436260
oct547176073664
9147410184240
1048217225140
11194a34039a7
129417a26930
134715601066
142495a5d0a0
1513c30e0360
hexb39f877b4

48217225140 has 144 divisors (see below), whose sum is σ = 167771036160. Its totient is φ = 10980334080.

The previous prime is 48217225117. The next prime is 48217225141. The reversal of 48217225140 is 4152271284.

48217225140 is a `hidden beast` number, since 482 + 17 + 2 + 25 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48217225095 and 48217225104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48217225141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270856 + ... + 412064.

It is an arithmetic number, because the mean of its divisors is an integer number (1165076640).

Almost surely, 248217225140 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 48217225140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83885518080).

48217225140 is an abundant number, since it is smaller than the sum of its proper divisors (119553811020).

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

48217225140 is a wasteful number, since it uses less digits than its factorization.

48217225140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141502 (or 141497 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 48217225140 in words is "forty-eight billion, two hundred seventeen million, two hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 271 315 420 542 630 813 1084 1260 1355 1626 1897 2439 2710 3252 3794 4065 4878 5420 5691 7588 8130 9485 9756 11382 12195 16260 17073 18970 22764 24390 28455 34146 37940 48780 56910 68292 85365 113820 141209 170730 282418 341460 423627 564836 706045 847254 988463 1270881 1412090 1694508 1976926 2118135 2541762 2824180 2965389 3953852 4236270 4942315 5083524 5930778 6354405 8472540 8896167 9884630 11861556 12708810 14826945 17792334 19769260 25417620 29653890 35584668 38267639 44480835 59307780 76535278 88961670 114802917 153070556 177923340 191338195 229605834 267873473 344408751 382676390 459211668 535746946 574014585 688817502 765352780 803620419 1071493892 1148029170 1339367365 1377635004 1607240838 1722043755 2296058340 2410861257 2678734730 3214481676 3444087510 4018102095 4821722514 5357469460 6888175020 8036204190 9643445028 12054306285 16072408380 24108612570 48217225140