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98079050106 = 232313743110477
BaseRepresentation
bin101101101010111110…
…1111000100101111010
3100101011022000222101100
41123111331320211322
53101331214100411
6113020142232230
710041330112332
oct1332575704572
9311138028340
1098079050106
1138660081004
1217012585676
1393308522bb
144a65ca20c2
15284078e456
hex16d5f7897a

98079050106 has 96 divisors (see below), whose sum is σ = 230529581568. Its totient is φ = 30067148160.

The previous prime is 98079050101. The next prime is 98079050171. The reversal of 98079050106 is 60105097089.

It is a super-2 number, since 2×980790501062 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98079050101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 832540 + ... + 943016.

It is an arithmetic number, because the mean of its divisors is an integer number (2401349808).

Almost surely, 298079050106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98079050106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115264790784).

98079050106 is an abundant number, since it is smaller than the sum of its proper divisors (132450531462).

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

98079050106 is a wasteful number, since it uses less digits than its factorization.

98079050106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110596 (or 110593 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 98079050106 in words is "ninety-eight billion, seventy-nine million, fifty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 31 37 43 62 74 86 93 111 129 186 222 258 279 333 387 558 666 774 1147 1333 1591 2294 2666 3182 3441 3999 4773 6882 7998 9546 10323 11997 14319 20646 23994 28638 49321 98642 110477 147963 220954 295926 331431 443889 662862 887778 994293 1988586 3424787 4087649 4750511 6849574 8175298 9501022 10274361 12262947 14251533 20548722 24525894 28503066 30823083 36788841 42754599 61646166 73577682 85509198 126717119 147265841 175768907 253434238 294531682 351537814 380151357 441797523 527306721 760302714 883595046 1054613442 1140454071 1325392569 1581920163 2280908142 2650785138 3163840326 5448836117 10897672234 16346508351 32693016702 49039525053 98079050106