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2098387564 = 227913
BaseRepresentation
bin111110100010010…
…1101101001101100
312102020111010120221
41331010231221230
513244141400224
6544115421124
7103000000000
oct17504555154
95366433527
102098387564
119875376a9
124a68b47a4
13275974c60
1415c98a700
15c43496e4
hex7d12da6c

2098387564 has 60 divisors (see below), whose sum is σ = 4613762384. Its totient is φ = 830131344.

The previous prime is 2098387561. The next prime is 2098387583. The reversal of 2098387564 is 4657838902.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (2098387561) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 161414422 + ... + 161414434.

Almost surely, 22098387564 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 2098387564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306881192).

2098387564 is an abundant number, since it is smaller than the sum of its proper divisors (2515374820).

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

2098387564 is an frugal number, since it uses more digits than its factorization.

2098387564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The square root of 2098387564 is about 45808.1604520417. The cubic root of 2098387564 is about 1280.2513267883.

2098387564 divided by its sum of digits (52) gives a 9-th power (40353607 = 79).

The spelling of 2098387564 in words is "two billion, ninety-eight million, three hundred eighty-seven thousand, five hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 343 364 637 686 1274 1372 2401 2548 4459 4802 8918 9604 16807 17836 31213 33614 62426 67228 117649 124852 218491 235298 436982 470596 823543 873964 1529437 1647086 3058874 3294172 5764801 6117748 10706059 11529602 21412118 23059204 40353607 42824236 74942413 80707214 149884826 161414428 299769652 524596891 1049193782 2098387564