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98881318116 = 22327274872
BaseRepresentation
bin101110000010111001…
…0010010110011100100
3100110020012122102012100
41130011302102303210
53110002104134431
6113231521452100
710100241223200
oct1340562226344
9313205572170
1098881318116
1138a31a20919
12171b71a1030
13942ab1a5b9
144b0065bb00
15288ae134e6
hex1705c92ce4

98881318116 has 81 divisors (see below), whose sum is σ = 290797001859. Its totient is φ = 28248031728.

The previous prime is 98881318111. The next prime is 98881318153. The reversal of 98881318116 is 61181318889.

It is a happy number.

The square root of 98881318116 is 314454.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (98881318111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13203325 + ... + 13210811.

Almost surely, 298881318116 is an apocalyptic number.

98881318116 is the 314454-th square number.

It is an amenable number.

98881318116 is an abundant number, since it is smaller than the sum of its proper divisors (191915683743).

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

98881318116 is an equidigital number, since it uses as much as digits as its factorization.

98881318116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14998 (or 7499 counting only the distinct ones).

The product of its digits is 663552, while the sum is 54.

The spelling of 98881318116 in words is "ninety-eight billion, eight hundred eighty-one million, three hundred eighteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 7487 14974 22461 29948 44922 52409 67383 89844 104818 134766 157227 209636 269532 314454 366863 471681 628908 733726 943362 1100589 1467452 1886724 2201178 3301767 4402356 6603534 13207068 56055169 112110338 168165507 224220676 336331014 392386183 504496521 672662028 784772366 1008993042 1177158549 1569544732 2017986084 2354317098 2746703281 3531475647 4708634196 5493406562 7062951294 8240109843 10986813124 14125902588 16480219686 24720329529 32960439372 49440659058 98881318116