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48718347048 = 2333743174759
BaseRepresentation
bin101101010111110101…
…101111101100101000
311122202021011110022000
4231113311233230220
51244233344101143
634214135131000
73343200055140
oct552765575450
9148667143260
1048718347048
1119730267238
129537813a60
1347953899b7
142502427920
1514020cabd3
hexb57d6fb28

48718347048 has 128 divisors (see below), whose sum is σ = 155022336000. Its totient is φ = 13887046080.

The previous prime is 48718347037. The next prime is 48718347109. The reversal of 48718347048 is 84074381784.

48718347048 is a `hidden beast` number, since 487 + 1 + 83 + 47 + 0 + 48 = 666.

It is a super-3 number, since 3×487183470483 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48718346985 and 48718347003.

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, 614293 + ... + 689051.

It is an arithmetic number, because the mean of its divisors is an integer number (1211112000).

Almost surely, 248718347048 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 48718347048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77511168000).

48718347048 is an abundant number, since it is smaller than the sum of its proper divisors (106303988952).

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

48718347048 is a wasteful number, since it uses less digits than its factorization.

48718347048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75212 (or 75202 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 48718347048 in words is "forty-eight billion, seven hundred eighteen million, three hundred forty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 431 504 756 862 1293 1512 1724 2586 3017 3448 3879 5172 6034 7758 9051 10344 11637 12068 15516 18102 23274 24136 27153 31032 36204 46548 54306 72408 74759 81459 93096 108612 149518 162918 217224 224277 299036 325836 448554 523313 598072 651672 672831 897108 1046626 1345662 1569939 1794216 2018493 2093252 2691324 3139878 4036986 4186504 4709817 5382648 6279756 8073972 9419634 12559512 14129451 16147944 18839268 28258902 32221129 37678536 56517804 64442258 96663387 113035608 128884516 193326774 225547903 257769032 289990161 386653548 451095806 579980322 676643709 773307096 869970483 902191612 1159960644 1353287418 1739940966 1804383224 2029931127 2319921288 2706574836 3479881932 4059862254 5413149672 6089793381 6959763864 8119724508 12179586762 16239449016 24359173524 48718347048