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78082731738 = 2321131113112577
BaseRepresentation
bin100100010111000010…
…1111110111011011010
321110112201102202101100
41020232011332323122
52234403134403423
655512023532230
75432651161134
oct1105605767332
9243481382340
1078082731738
1130129737060
12131718ba076
137494b6635b
143aca298054
15206eeee343
hex122e17eeda

78082731738 has 96 divisors (see below), whose sum is σ = 192200366592. Its totient is φ = 22695321600.

The previous prime is 78082731703. The next prime is 78082731751. The reversal of 78082731738 is 83713728087.

It is a happy number.

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, 637306 + ... + 749882.

It is an arithmetic number, because the mean of its divisors is an integer number (2002087152).

Almost surely, 278082731738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78082731738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96100183296).

78082731738 is an abundant number, since it is smaller than the sum of its proper divisors (114117634854).

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

78082731738 is a wasteful number, since it uses less digits than its factorization.

78082731738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112740 (or 112737 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 78082731738 in words is "seventy-eight billion, eighty-two million, seven hundred thirty-one thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 113 186 198 226 279 339 341 558 678 682 1017 1023 1243 2034 2046 2486 3069 3503 3729 6138 7006 7458 10509 11187 21018 22374 31527 38533 63054 77066 112577 115599 225154 231198 337731 346797 675462 693594 1013193 1238347 2026386 2476694 3489887 3715041 6979774 7430082 10469661 11145123 12721201 20939322 22290246 25442402 31408983 38163603 38388757 62817966 76327206 76777514 114490809 115166271 139933211 228981618 230332542 279866422 345498813 394357231 419799633 690997626 788714462 839599266 1183071693 1259398899 2366143386 2518797798 3549215079 4337929541 7098430158 8675859082 13013788623 26027577246 39041365869 78082731738