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48724433172 = 22342916193203
BaseRepresentation
bin101101011000001100…
…111101100100010100
311122202200121122220000
4231120030331210110
51244241423330142
634214513411300
73343302564012
oct553014754424
9148680548800
1048724433172
1119733743898
129539869b30
13479670ac5c
14250316d8b2
1514028ce14c
hexb5833d914

48724433172 has 120 divisors (see below), whose sum is σ = 131890096800. Its totient is φ = 15666848064.

The previous prime is 48724433167. The next prime is 48724433203. The reversal of 48724433172 is 27133442784.

48724433172 is a `hidden beast` number, since 4 + 8 + 7 + 244 + 331 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15210523 + ... + 15213725.

It is an arithmetic number, because the mean of its divisors is an integer number (1099084140).

Almost surely, 248724433172 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 48724433172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65945048400).

48724433172 is an abundant number, since it is smaller than the sum of its proper divisors (83165663628).

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

48724433172 is a wasteful number, since it uses less digits than its factorization.

48724433172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4867 (or 4856 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 48724433172 in words is "forty-eight billion, seven hundred twenty-four million, four hundred thirty-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 1619 2349 3132 3203 3238 4698 4857 6406 6476 9396 9609 9714 12812 14571 19218 19428 28827 29142 38436 43713 46951 57654 58284 86481 87426 92887 93902 115308 131139 140853 172962 174852 185774 187804 259443 262278 278661 281706 345924 371548 422559 518886 524556 557322 563412 835983 845118 1037772 1114644 1267677 1671966 1690236 2507949 2535354 3343932 3803031 5015898 5070708 5185657 7523847 7606062 10031796 10371314 15047694 15212124 15556971 20742628 30095388 31113942 46670913 62227884 93341826 140012739 150384053 186683652 280025478 300768106 420038217 451152159 560050956 601536212 840076434 902304318 1353456477 1680152868 1804608636 2706912954 4060369431 5413825908 8120738862 12181108293 16241477724 24362216586 48724433172