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48715468100 = 225213591095827
BaseRepresentation
bin101101010111101010…
…110000110101000100
311122202001202012010022
4231113222300311010
51244232124434400
634213553314312
73343133434535
oct552752606504
9148661665108
1048715468100
1119729680242
129536865998
1347948bc490
142501cb868c
151401c0cb85
hexb57ab0d44

48715468100 has 144 divisors (see below), whose sum is σ = 116856062400. Its totient is φ = 17517150720.

The previous prime is 48715468099. The next prime is 48715468129. The reversal of 48715468100 is 186451784.

48715468100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×487154681002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8357387 + ... + 8363213.

Almost surely, 248715468100 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 48715468100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58428031200).

48715468100 is an abundant number, since it is smaller than the sum of its proper divisors (68140594300).

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

48715468100 is a wasteful number, since it uses less digits than its factorization.

48715468100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6022 (or 6015 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 48715468100 in words is "forty-eight billion, seven hundred fifteen million, four hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 59 65 100 109 118 130 218 236 260 295 325 436 545 590 650 767 1090 1180 1300 1417 1475 1534 2180 2725 2834 2950 3068 3835 5450 5668 5827 5900 6431 7085 7670 10900 11654 12862 14170 15340 19175 23308 25724 28340 29135 32155 35425 38350 58270 64310 70850 75751 76700 83603 116540 128620 141700 145675 151502 160775 167206 291350 303004 321550 334412 343793 378755 418015 582700 635143 643100 687586 757510 836030 1270286 1375172 1515020 1672060 1718965 1893775 2090075 2540572 3175715 3437930 3787550 4180150 4469309 6351430 6875860 7575100 8256859 8360300 8594825 8938618 12702860 15878575 16513718 17189650 17877236 22346545 31757150 33027436 34379300 37473437 41284295 44693090 63514300 74946874 82568590 89386180 111732725 149893748 165137180 187367185 206421475 223465450 374734370 412842950 446930900 487154681 749468740 825685900 936835925 974309362 1873671850 1948618724 2435773405 3747343700 4871546810 9743093620 12178867025 24357734050 48715468100