Search a number
-
+
98904551984 = 2471950392401
BaseRepresentation
bin101110000011100101…
…0111011001000110000
3100110021211100211001222
41130013022323020300
53110024031130414
6113234111444212
710100642551340
oct1340712731060
9313254324058
1098904551984
1138a4404a867
1217202b26668
139432893954
144b03788d20
15288cea268e
hex17072bb230

98904551984 has 80 divisors (see below), whose sum is σ = 230990215680. Its totient is φ = 40076467200.

The previous prime is 98904551969. The next prime is 98904552013. The reversal of 98904551984 is 48915540989.

It is a super-2 number, since 2×989045519842 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1024184 + ... + 1116584.

It is an arithmetic number, because the mean of its divisors is an integer number (2887377696).

Almost surely, 298904551984 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 98904551984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115495107840).

98904551984 is an abundant number, since it is smaller than the sum of its proper divisors (132085663696).

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

98904551984 is a wasteful number, since it uses less digits than its factorization.

98904551984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92938 (or 92932 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 62.

The spelling of 98904551984 in words is "ninety-eight billion, nine hundred four million, five hundred fifty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 503 532 1006 1064 2012 2128 3521 4024 7042 8048 9557 14084 19114 28168 38228 56336 66899 76456 92401 133798 152912 184802 267596 369604 535192 646807 739208 1070384 1293614 1478416 1755619 2587228 3511238 5174456 7022476 10348912 12289333 14044952 24578666 28089904 46477703 49157332 92955406 98314664 185910812 196629328 325343921 371821624 650687842 743643248 883076357 1301375684 1766152714 2602751368 3532305428 5205502736 6181534499 7064610856 12363068998 14129221712 24726137996 49452275992 98904551984