Search a number
-
+
2640618816 = 26311310333
BaseRepresentation
bin1001110101100100…
…1010010101000000
320211000210100000220
42131121022111000
520401444300231
61114005343040
7122302614063
oct23531122500
96730710026
102640618816
111135619000
12618407a80
133310c5354
141b09b68da
15106c55896
hex9d64a540

2640618816 has 112 divisors (see below), whose sum is σ = 7685519808. Its totient is φ = 800110080.

The previous prime is 2640618797. The next prime is 2640618833. The reversal of 2640618816 is 6188160462.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 250386 + ... + 260718.

Almost surely, 22640618816 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 2640618816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842759904).

2640618816 is an abundant number, since it is smaller than the sum of its proper divisors (5044900992).

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

2640618816 is a wasteful number, since it uses less digits than its factorization.

2640618816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10381 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2640618816 is about 51386.9518068546. The cubic root of 2640618816 is about 1382.1926244463.

The spelling of 2640618816 in words is "two billion, six hundred forty million, six hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1331 1452 1936 2112 2662 2904 3872 3993 5324 5808 7744 7986 10333 10648 11616 15972 20666 21296 23232 30999 31944 41332 42592 61998 63888 82664 85184 113663 123996 127776 165328 227326 247992 255552 330656 340989 454652 495984 661312 681978 909304 991968 1250293 1363956 1818608 1983936 2500586 2727912 3637216 3750879 5001172 5455824 7274432 7501758 10002344 10911648 13753223 15003516 20004688 21823296 27506446 30007032 40009376 41259669 55012892 60014064 80018752 82519338 110025784 120028128 165038676 220051568 240056256 330077352 440103136 660154704 880206272 1320309408 2640618816