Search a number
-
+
98136682760 = 2357382740639
BaseRepresentation
bin101101101100101100…
…1101111000100001000
3100101022022111000112002
41123121121233010020
53101440442322020
6113030001410132
710042630016504
oct1333131570410
9311268430462
1098136682760
113868a6652a6
1217029939948
13933c78086c
144a6d7c5304
152845875975
hex16d966f108

98136682760 has 64 divisors (see below), whose sum is σ = 224108467200. Its totient is φ = 38669170176.

The previous prime is 98136682759. The next prime is 98136682771. The reversal of 98136682760 is 6728663189.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 98136682696 and 98136682705.

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, 2394521 + ... + 2435159.

It is an arithmetic number, because the mean of its divisors is an integer number (3501694800).

Almost surely, 298136682760 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 98136682760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112054233600).

98136682760 is an abundant number, since it is smaller than the sum of its proper divisors (125971784440).

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

98136682760 is a wasteful number, since it uses less digits than its factorization.

98136682760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41550 (or 41546 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 98136682760 in words is "ninety-eight billion, one hundred thirty-six million, six hundred eighty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 827 1460 1654 2920 3308 4135 6616 8270 16540 33080 40639 60371 81278 120742 162556 203195 241484 301855 325112 406390 482968 603710 812780 1207420 1625560 2414840 2966647 5933294 11866588 14833235 23733176 29666470 33608453 59332940 67216906 118665880 134433812 168042265 268867624 336084530 672169060 1344338120 2453417069 4906834138 9813668276 12267085345 19627336552 24534170690 49068341380 98136682760