Search a number
-
+
98611111116 = 2232715122311621
BaseRepresentation
bin101101111010110101…
…1100010010011001100
3100102112101012110212200
41123311223202103030
53103423421023431
6113145030201500
710060450420530
oct1336553422314
9312471173780
1098611111116
1138903446351
12171407b3290
1393b6b514bb
144ab6801bc0
15287233bee6
hex16f5ae24cc

98611111116 has 144 divisors (see below), whose sum is σ = 288073863168. Its totient is φ = 27860112000.

The previous prime is 98611111111. The next prime is 98611111129. The reversal of 98611111116 is 61111111689.

98611111116 is a `hidden beast` number, since 9 + 8 + 611 + 11 + 11 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (98611111111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8479786 + ... + 8491406.

Almost surely, 298611111116 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 98611111116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144036931584).

98611111116 is an abundant number, since it is smaller than the sum of its proper divisors (189462752052).

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

98611111116 is a wasteful number, since it uses less digits than its factorization.

98611111116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12012 (or 12007 counting only the distinct ones).

The product of its digits is 2592, while the sum is 36.

The spelling of 98611111116 in words is "ninety-eight billion, six hundred eleven million, one hundred eleven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 151 223 252 302 446 453 604 669 892 906 1057 1338 1359 1561 1812 2007 2114 2676 2718 3122 3171 4014 4228 4683 5436 6244 6342 8028 9366 9513 11621 12684 14049 18732 19026 23242 28098 33673 34863 38052 46484 56196 67346 69726 81347 101019 104589 134692 139452 162694 202038 209178 235711 244041 303057 325388 404076 418356 471422 488082 606114 707133 732123 942844 976164 1212228 1414266 1464246 1754771 2121399 2591483 2828532 2928492 3509542 4242798 5182966 5264313 7019084 7774449 8485596 10365932 10528626 12283397 15548898 15792939 18140381 21057252 23323347 24566794 31097796 31585878 36280762 36850191 46646694 49133588 54421143 63171756 72561524 73700382 93293388 108842286 110550573 147400764 163263429 217684572 221101146 326526858 391313933 442202292 653053716 782627866 1173941799 1565255732 2347883598 2739197531 3521825397 4695767196 5478395062 7043650794 8217592593 10956790124 14087301588 16435185186 24652777779 32870370372 49305555558 98611111116