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2109339648 = 21132138803
BaseRepresentation
bin111110110111001…
…1111100000000000
312110000002120000200
41331232133200000
513304442332043
6545150245200
7103162043163
oct17556374000
95400076020
102109339648
11992738109
124aa4b6800
1327800ac90
141601dbada
15c52ae7d3
hex7db9f800

2109339648 has 144 divisors (see below), whose sum is σ = 6561533160. Its totient is φ = 648953856.

The previous prime is 2109339643. The next prime is 2109339677. The reversal of 2109339648 is 8469339012.

It is a happy number.

2109339648 is a `hidden beast` number, since 210 + 9 + 3 + 396 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2109339643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235215 + ... + 244017.

Almost surely, 22109339648 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 2109339648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280766580).

2109339648 is an abundant number, since it is smaller than the sum of its proper divisors (4452193512).

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

2109339648 is a wasteful number, since it uses less digits than its factorization.

2109339648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8844 (or 8821 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2109339648 is about 45927.5478117437. The cubic root of 2109339648 is about 1282.4747953963.

The spelling of 2109339648 in words is "two billion, one hundred nine million, three hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4608 4992 6144 6656 7488 8803 9216 9984 13312 14976 17606 18432 19968 26409 26624 29952 35212 39936 52818 59904 70424 79227 79872 105636 114439 119808 140848 158454 211272 228878 239616 281696 316908 343317 422544 457756 563392 633816 686634 845088 915512 1029951 1126784 1267632 1373268 1690176 1831024 2059902 2253568 2535264 2746536 3380352 3662048 4119804 4507136 5070528 5493072 6760704 7324096 8239608 9014272 10141056 10986144 13521408 14648192 16479216 18028544 20282112 21972288 27042816 29296384 32958432 40564224 43944576 54085632 58592768 65916864 81128448 87889152 117185536 131833728 162256896 175778304 234371072 263667456 351556608 527334912 703113216 1054669824 2109339648