Search a number
-
+
87749894778 = 237131032236997
BaseRepresentation
bin101000110111001001…
…1010010001001111010
322101111102220112000220
41101232103102021322
52414202433113103
6104151200440510
76224344541010
oct1215623221172
9271442815026
1087749894778
113423a5897a7
121500b319136
1383758c9680
14436613a8b0
152438a63c53
hex146e4d227a

87749894778 has 128 divisors (see below), whose sum is σ = 219106148352. Its totient is φ = 22812109056.

The previous prime is 87749894759. The next prime is 87749894779.

87749894778 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (87749894779) 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, 12537576 + ... + 12544572.

It is an arithmetic number, because the mean of its divisors is an integer number (1711766784).

Almost surely, 287749894778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87749894778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109553074176).

87749894778 is an abundant number, since it is smaller than the sum of its proper divisors (131356253574).

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

87749894778 is a wasteful number, since it uses less digits than its factorization.

87749894778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7348.

The product of its digits is 1593188352, while the sum is 78.

The spelling of 87749894778 in words is "eighty-seven billion, seven hundred forty-nine million, eight hundred ninety-four thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 103 182 206 223 273 309 446 546 618 669 721 1338 1339 1442 1561 2163 2678 2899 3122 4017 4326 4683 5798 6997 8034 8697 9366 9373 13994 17394 18746 20293 20991 22969 28119 40586 41982 45938 48979 56238 60879 68907 90961 97958 121758 137814 146937 160783 181922 272883 293874 298597 321566 482349 545766 597194 636727 720691 895791 964698 1273454 1441382 1560331 1791582 1910181 2090179 2162073 3120662 3820362 4180358 4324146 4680993 5044837 6270537 9361986 9368983 10089674 10922317 12541074 15134511 18737966 20284303 21844634 28106949 30269022 32766951 40568606 56213898 60852909 65533902 65582881 121705818 131165762 141990121 160714093 196748643 283980242 321428186 393497286 425970363 482142279 851940726 964284558 1124998651 2089283209 2249997302 3374995953 4178566418 6267849627 6749991906 12535699254 14624982463 29249964926 43874947389 87749894778