Search a number
-
+
98964225204 = 2231317211176857
BaseRepresentation
bin101110000101010111…
…0100011110010110100
3100110102222122112100020
41130022232203302310
53110134320201304
6113244042445140
710102266014625
oct1341256436264
9313388575306
1098964225204
1138a747a8179
121721ab037b0
139442057c50
144b0b67da4c
15289333d5d9
hex170aba3cb4

98964225204 has 96 divisors (see below), whose sum is σ = 264556930176. Its totient is φ = 28523335680.

The previous prime is 98964225203. The next prime is 98964225233. The reversal of 98964225204 is 40252246989.

It is a happy number.

98964225204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98964225203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471144 + ... + 648000.

It is an arithmetic number, because the mean of its divisors is an integer number (2755801356).

Almost surely, 298964225204 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 98964225204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132278465088).

98964225204 is an abundant number, since it is smaller than the sum of its proper divisors (165592704972).

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

98964225204 is a wasteful number, since it uses less digits than its factorization.

98964225204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177105 (or 177103 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 98964225204 in words is "ninety-eight billion, nine hundred sixty-four million, two hundred twenty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 211 221 422 442 633 663 844 884 1266 1326 2532 2652 2743 3587 5486 7174 8229 10761 10972 14348 16458 21522 32916 43044 46631 93262 139893 176857 186524 279786 353714 530571 559572 707428 1061142 2122284 2299141 3006569 4598282 6013138 6897423 9019707 9196564 12026276 13794846 18039414 27589692 36078828 37316827 39085397 74633654 78170794 111950481 117256191 149267308 156341588 223900962 234512382 447801924 469024764 485118751 634386059 970237502 1268772118 1455356253 1903158177 1940475004 2537544236 2910712506 3806316354 5821425012 7612632708 8247018767 16494037534 24741056301 32988075068 49482112602 98964225204