Search a number
-
+
2100298776576 = 2203711132329
BaseRepresentation
bin11110100100000011100…
…100000000000000000000
321102210020102200121121220
4132210003210000000000
5233402402441322301
64244510335515040
7304512235016220
oct36440344000000
97383212617556
102100298776576
1173a8059a5180
1229b075988a80
13123098c33a90
1473925486080
1539978583936
hex1e903900000

2100298776576 has 1344 divisors, whose sum is σ = 8117484318720. Its totient is φ = 465064427520.

The previous prime is 2100298776533. The next prime is 2100298776593. The reversal of 2100298776576 is 6756778920012.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×21002987765762 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72424095730 + ... + 72424095758.

It is an arithmetic number, because the mean of its divisors is an integer number (6039794880).

Almost surely, 22100298776576 is an apocalyptic number.

2100298776576 is a gapful number since it is divisible by the number (26) 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 2100298776576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058742159360).

2100298776576 is an abundant number, since it is smaller than the sum of its proper divisors (6017185542144).

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

2100298776576 is an equidigital number, since it uses as much as digits as its factorization.

2100298776576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 2100298776576 in words is "two trillion, one hundred billion, two hundred ninety-eight million, seven hundred seventy-six thousand, five hundred seventy-six".