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84003257748 = 2231931100911779
BaseRepresentation
bin100111000111011111…
…0111111110110010100
322000211022221122020110
41032032332333312110
52334014313221443
6102331321203020
76032451623664
oct1161676776624
9260738848213
1084003257748
1132697715963
1214344630470
137bc9627297
1440cc6da1a4
1522b9b89233
hex138efbfd94

84003257748 has 96 divisors (see below), whose sum is σ = 213208576000. Its totient is φ = 25644003840.

The previous prime is 84003257713. The next prime is 84003257749. The reversal of 84003257748 is 84775230048.

It is a junction number, because it is equal to n+sod(n) for n = 84003257697 and 84003257706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84003257749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7125723 + ... + 7137501.

Almost surely, 284003257748 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 84003257748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106604288000).

84003257748 is an abundant number, since it is smaller than the sum of its proper divisors (129205318252).

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

84003257748 is a wasteful number, since it uses less digits than its factorization.

84003257748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12845 (or 12843 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 84003257748 in words is "eighty-four billion, three million, two hundred fifty-seven thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1009 1178 1767 2018 2356 3027 3534 4036 6054 7068 11779 12108 19171 23558 31279 35337 38342 47116 57513 62558 70674 76684 93837 115026 125116 141348 187674 223801 230052 365149 375348 447602 594301 671403 730298 895204 1095447 1188602 1342806 1460596 1782903 2190894 2377204 2685612 3565806 4381788 6937831 7131612 11885011 13875662 20813493 23770022 27751324 35655033 41626986 47540044 71310066 83253972 142620132 225815209 368435341 451630418 677445627 736870682 903260836 1105306023 1354891254 1473741364 2210612046 2709782508 4421224092 7000271479 14000542958 21000814437 28001085916 42001628874 84003257748