Search a number
-
+
2091117648 = 243315923819
BaseRepresentation
bin111110010100011…
…1110110001010000
312101201210210010210
41330220332301100
513240311231043
6543255524120
7102551130624
oct17450766120
95351723123
102091117648
11983421704
124a4389640
132742cac29
1415ba17184
15c38b0633
hex7ca3ec50

2091117648 has 80 divisors (see below), whose sum is σ = 5671065600. Its totient is φ = 663093120.

The previous prime is 2091117619. The next prime is 2091117673. The reversal of 2091117648 is 8467111902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75883 + ... + 99701.

It is an arithmetic number, because the mean of its divisors is an integer number (70888320).

Almost surely, 22091117648 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 2091117648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835532800).

2091117648 is an abundant number, since it is smaller than the sum of its proper divisors (3579947952).

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

2091117648 is a wasteful number, since it uses less digits than its factorization.

2091117648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23920 (or 23914 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 2091117648 is about 45728.7398470590. The cubic root of 2091117648 is about 1278.7711285350.

The spelling of 2091117648 in words is "two billion, ninety-one million, one hundred seventeen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 59 62 93 118 124 177 186 236 248 354 372 472 496 708 744 944 1416 1488 1829 2832 3658 5487 7316 10974 14632 21948 23819 29264 43896 47638 71457 87792 95276 142914 190552 285828 381104 571656 738389 1143312 1405321 1476778 2215167 2810642 2953556 4215963 4430334 5621284 5907112 8431926 8860668 11242568 11814224 16863852 17721336 22485136 33727704 35442672 43564951 67455408 87129902 130694853 174259804 261389706 348519608 522779412 697039216 1045558824 2091117648