Search a number
-
+
102270792936 = 23313617337331
BaseRepresentation
bin101111100111111010…
…0000111010011101000
3100202222102112120112210
41133033310013103220
53133422310333221
6114552122005120
710250236253034
oct1371764072350
9322872476483
10102270792936
113a411218484
12179a23467a0
13984b0c97c0
144d428891c4
1529d878c276
hex17cfd074e8

102270792936 has 128 divisors (see below), whose sum is σ = 280278311040. Its totient is φ = 30905625600.

The previous prime is 102270792907. The next prime is 102270792973. The reversal of 102270792936 is 639297072201.

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, 13946791 + ... + 13954121.

It is an arithmetic number, because the mean of its divisors is an integer number (2189674305).

Almost surely, 2102270792936 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 102270792936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140139155520).

102270792936 is an abundant number, since it is smaller than the sum of its proper divisors (178007518104).

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

102270792936 is a wasteful number, since it uses less digits than its factorization.

102270792936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147 (or 8143 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 102270792936 in words is "one hundred two billion, two hundred seventy million, seven hundred ninety-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 733 793 1464 1466 1586 2199 2379 2932 3172 4398 4758 5864 6344 7331 8796 9516 9529 14662 17592 19032 19058 21993 28587 29324 38116 43986 44713 57174 58648 76232 87972 89426 95303 114348 134139 175944 178852 190606 228696 268278 285909 357704 381212 447191 536556 571818 581269 762424 894382 1073112 1143636 1162538 1341573 1743807 1788764 2287272 2325076 2683146 3487614 3577528 4650152 5366292 5373623 5813483 6975228 10732584 10747246 11626966 13950456 16120869 17440449 21494492 23253932 32241738 34880898 42988984 46507864 64483476 69761796 69857099 128966952 139523592 139714198 209571297 279428396 327791003 419142594 558856792 655582006 838285188 983373009 1311164012 1676570376 1966746018 2622328024 3933492036 4261283039 7866984072 8522566078 12783849117 17045132156 25567698234 34090264312 51135396468 102270792936