Search a number
-
+
2098347793920 = 2934572979631
BaseRepresentation
bin11110100010001111010…
…001100101111000000000
321102121012110120102120000
4132202033101211320000
5233334404013401140
64243545003320000
7304413004650150
oct36421721457000
97377173512500
102098347793920
117399a4698014
1229a810520000
13122b4798c781
14737bc30a760
15398b2154a30
hex1e88f465e00

2098347793920 has 1600 divisors, whose sum is σ = 9012194611200. Its totient is φ = 456497233920.

The previous prime is 2098347793901. The next prime is 2098347793933. The reversal of 2098347793920 is 293977438902.

2098347793920 is a `hidden beast` number, since 20 + 98 + 3 + 477 + 9 + 39 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3325432005 + ... + 3325432635.

It is an arithmetic number, because the mean of its divisors is an integer number (5632621632).

Almost surely, 22098347793920 is an apocalyptic number.

2098347793920 is a gapful number since it is divisible by the number (20) 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 2098347793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506097305600).

2098347793920 is an abundant number, since it is smaller than the sum of its proper divisors (6913846817280).

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

2098347793920 is an equidigital number, since it uses as much as digits as its factorization.

2098347793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 2098347793920 in words is "two trillion, ninety-eight billion, three hundred forty-seven million, seven hundred ninety-three thousand, nine hundred twenty".