Search a number
-
+
98221976400000 = 27355281291287
BaseRepresentation
bin10110010101010100010110…
…000000110011000010000000
3110212202221002102020011011210
4112111110112000303002000
5100333232101424300000
6544522315242210120
726455206065665215
oct2625242600630200
9425687072204153
1098221976400000
1129329785044142
12b0240b11b3940
1342a63a5babb2b
141a37d7cdddb0c
15b54ea4282350
hex595516033080

98221976400000 has 384 divisors, whose sum is σ = 327268429729920. Its totient is φ = 26099225600000.

The previous prime is 98221976399957. The next prime is 98221976400011. The reversal of 98221976400000 is 467912289.

98221976400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337054357 + ... + 337345643.

It is an arithmetic number, because the mean of its divisors is an integer number (852261535755).

Almost surely, 298221976400000 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 98221976400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163634214864960).

98221976400000 is an abundant number, since it is smaller than the sum of its proper divisors (229046453329920).

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

98221976400000 is an equidigital number, since it uses as much as digits as its factorization.

98221976400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291610 (or 291578 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 98221976400000 in words is "ninety-eight trillion, two hundred twenty-one billion, nine hundred seventy-six million, four hundred thousand".