Search a number
-
+
98471372220 = 2233513171038011
BaseRepresentation
bin101101110110101011…
…0011110010110111100
3100102011122021000011000
41123231112132112330
53103132132402340
6113123115130300
710054132565514
oct1335526362674
9312148230130
1098471372220
1138841582461
1217101a43990
139393c05c70
144aa2028844
152864e37d30
hex16ed59e5bc

98471372220 has 384 divisors, whose sum is σ = 352763873280. Its totient is φ = 22588968960.

The previous prime is 98471372201. The next prime is 98471372273. The reversal of 98471372220 is 2227317489.

98471372220 is a `hidden beast` number, since 98 + 471 + 3 + 72 + 2 + 20 = 666.

It is a super-2 number, since 2×984713722202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 12288015 + ... + 12296025.

It is an arithmetic number, because the mean of its divisors is an integer number (918655920).

Almost surely, 298471372220 is an apocalyptic number.

98471372220 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98471372220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176381936640).

98471372220 is an abundant number, since it is smaller than the sum of its proper divisors (254292501060).

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

98471372220 is a wasteful number, since it uses less digits than its factorization.

98471372220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8162 (or 8154 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 98471372220 in words is "ninety-eight billion, four hundred seventy-one million, three hundred seventy-two thousand, two hundred twenty".