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2102661344 = 257427367
BaseRepresentation
bin111110101010100…
…0001000011100000
312102112112021010002
41331111001003200
513301240130334
6544351155132
7103051220000
oct17525010340
95375467102
102102661344
11989996653
124a8215aa8
13276810314
1415d380000
15c48e0b7e
hex7d5410e0

2102661344 has 60 divisors (see below), whose sum is σ = 4829439384. Its totient is φ = 901107648.

The previous prime is 2102661331. The next prime is 2102661347. The reversal of 2102661344 is 4431662012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102661347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 63149 + ... + 90515.

Almost surely, 22102661344 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 2102661344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414719692).

2102661344 is an abundant number, since it is smaller than the sum of its proper divisors (2726778040).

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

2102661344 is an frugal number, since it uses more digits than its factorization.

2102661344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27405 (or 27376 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2102661344 is about 45854.7853991271. The cubic root of 2102661344 is about 1281.1198987976.

The spelling of 2102661344 in words is "two billion, one hundred two million, six hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2401 2744 4802 5488 9604 10976 19208 27367 38416 54734 76832 109468 191569 218936 383138 437872 766276 875744 1340983 1532552 2681966 3065104 5363932 6130208 9386881 10727864 18773762 21455728 37547524 42911456 65708167 75095048 131416334 150190096 262832668 300380192 525665336 1051330672 2102661344