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48466581438 = 231159139151593
BaseRepresentation
bin101101001000110101…
…010101011110111110
311122002201102102210210
4231020311111132332
51243224421101223
634133143013250
73334022100462
oct551065253676
9148081372723
1048466581438
1119611137a90
12948743a226
134755179772
1424bac0c4a2
1513d9e48893
hexb48d557be

48466581438 has 128 divisors (see below), whose sum is σ = 109212364800. Its totient is φ = 14215104000.

The previous prime is 48466581437. The next prime is 48466581439. The reversal of 48466581438 is 83418566484.

It is an interprime number because it is at equal distance from previous prime (48466581437) and next prime (48466581439).

It is a super-2 number, since 2×484665814382 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48466581431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81730870 + ... + 81731462.

It is an arithmetic number, because the mean of its divisors is an integer number (853221600).

Almost surely, 248466581438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48466581438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54606182400).

48466581438 is an abundant number, since it is smaller than the sum of its proper divisors (60745783362).

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

48466581438 is a wasteful number, since it uses less digits than its factorization.

48466581438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958.

The product of its digits is 17694720, while the sum is 57.

The spelling of 48466581438 in words is "forty-eight billion, four hundred sixty-six million, five hundred eighty-one thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 59 66 118 139 151 177 278 302 354 417 453 593 649 834 906 1186 1298 1529 1661 1779 1947 3058 3322 3558 3894 4587 4983 6523 8201 8909 9174 9966 13046 16402 17818 19569 20989 24603 26727 34987 39138 41978 49206 53454 62967 69974 82427 89543 90211 97999 104961 125934 164854 179086 180422 195998 209922 230879 247281 268629 270633 293997 384857 461758 494562 537258 541266 587994 692637 769714 906697 984973 1154571 1238351 1385274 1813394 1969946 2309142 2476702 2720091 2954919 3715053 4863193 5283037 5440182 5909838 7430106 9726386 10566074 12446477 13621861 14589579 15849111 24892954 27243722 29179158 31698222 37339431 40865583 53495123 58113407 74678862 81731166 106990246 116226814 136911247 160485369 174340221 273822494 320970738 348680442 410733741 734342143 821467482 1468684286 2203026429 4406052858 8077763573 16155527146 24233290719 48466581438