Search a number
-
+
102260797648 = 24313314871279
BaseRepresentation
bin101111100111100110…
…1111111000011010000
3100202221201201202120221
41133033031333003100
53133412231011043
6114551123442424
710250055303202
oct1371715770320
9322851652527
10102260797648
113a406610909
121799ab26414
13984900a129
144d41406772
1529d79658ed
hex17cf37f0d0

102260797648 has 80 divisors (see below), whose sum is σ = 205721436160. Its totient is φ = 49191753600.

The previous prime is 102260797567. The next prime is 102260797657. The reversal of 102260797648 is 846797062201.

It is a junction number, because it is equal to n+sod(n) for n = 102260797595 and 102260797604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79953073 + ... + 79954351.

It is an arithmetic number, because the mean of its divisors is an integer number (2571517952).

Almost surely, 2102260797648 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 102260797648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102860718080).

102260797648 is an abundant number, since it is smaller than the sum of its proper divisors (103460638512).

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

102260797648 is a wasteful number, since it uses less digits than its factorization.

102260797648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 102260797648 in words is "one hundred two billion, two hundred sixty million, seven hundred ninety-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 331 487 496 662 974 1279 1324 1948 2558 2648 3896 5116 5296 7792 10232 10261 15097 20464 20522 30194 39649 41044 60388 79298 82088 120776 158596 161197 164176 241552 317192 322394 423349 622873 634384 644788 846698 1245746 1289576 1693396 2491492 2579152 3386792 4982984 4997107 6773584 9965968 9994214 13123819 19309063 19988428 26247638 38618126 39976856 52495276 77236252 79953712 104990552 154472504 206170963 209981104 308945008 412341926 824683852 1649367704 3298735408 6391299853 12782599706 25565199412 51130398824 102260797648