Search a number
-
+
98243361750 = 2353198238377
BaseRepresentation
bin101101101111111000…
…0101011101111010110
3100101120202012212120210
41123133300223233112
53102200300034000
6113044332110250
710045363540122
oct1333760535726
9311522185523
1098243361750
11387348a8856
1217059605386
1393588c2421
144a7da34582
15284ede9350
hex16dfc2bbd6

98243361750 has 128 divisors (see below), whose sum is σ = 258465991680. Its totient is φ = 24786259200.

The previous prime is 98243361737. The next prime is 98243361751. The reversal of 98243361750 is 5716334289.

98243361750 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 98243361750.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98243361751) 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, 11723562 + ... + 11731938.

It is an arithmetic number, because the mean of its divisors is an integer number (2019265560).

It is a 2-persistent number, because it is pandigital, and so is 2⋅98243361750 = 196486723500, but 3⋅98243361750 = 294730085250 is not.

Almost surely, 298243361750 is an apocalyptic number.

98243361750 is the 167540-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98243361750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129232995840).

98243361750 is an abundant number, since it is smaller than the sum of its proper divisors (160222629930).

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

98243361750 is a wasteful number, since it uses less digits than its factorization.

98243361750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9239 (or 9229 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 98243361750 in words is "ninety-eight billion, two hundred forty-three million, three hundred sixty-one thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 125 150 190 250 285 375 475 570 750 823 950 1425 1646 2375 2469 2850 4115 4750 4938 7125 8230 8377 12345 14250 15637 16754 20575 24690 25131 31274 41150 41885 46911 50262 61725 78185 83770 93822 102875 123450 125655 156370 159163 205750 209425 234555 251310 308625 318326 390925 418850 469110 477489 617250 628275 781850 795815 954978 1047125 1172775 1256550 1591630 1954625 2094250 2345550 2387445 3141375 3909250 3979075 4774890 5863875 6282750 6894271 7958150 11727750 11937225 13788542 19895375 20682813 23874450 34471355 39790750 41365626 59686125 68942710 103414065 119372250 130991149 172356775 206828130 261982298 344713550 392973447 517070325 654955745 785946894 861783875 1034140650 1309911490 1723567750 1964867235 2585351625 3274778725 3929734470 5170703250 6549557450 9824336175 16373893625 19648672350 32747787250 49121680875 98243361750