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2163432560 = 245475571033
BaseRepresentation
bin1000000011110011…
…0101110001110000
312120202212202112212
42000330311301300
513412314320220
6554401511252
7104416605362
oct20074656160
95522782485
102163432560
11a102239a3
12504642528
1328629a313
1416747cd32
15c9de70c5
hex80f35c70

2163432560 has 80 divisors (see below), whose sum is σ = 5151206016. Its totient is φ = 844621824.

The previous prime is 2163432547. The next prime is 2163432577. The reversal of 2163432560 is 652343612.

It is a tau number, because it is divible by the number of its divisors (80).

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, 2093804 + ... + 2094836.

Almost surely, 22163432560 is an apocalyptic number.

2163432560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2163432560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575603008).

2163432560 is an abundant number, since it is smaller than the sum of its proper divisors (2987773456).

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

2163432560 is a wasteful number, since it uses less digits than its factorization.

2163432560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 2163432560 is about 46512.7139608086. The cubic root of 2163432560 is about 1293.3451947992.

The spelling of 2163432560 in words is "two billion, one hundred sixty-three million, four hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 557 752 940 1033 1114 1880 2066 2228 2785 3760 4132 4456 5165 5570 8264 8912 10330 11140 16528 20660 22280 26179 41320 44560 48551 52358 82640 97102 104716 130895 194204 209432 242755 261790 388408 418864 485510 523580 575381 776816 971020 1047160 1150762 1942040 2094320 2301524 2876905 3884080 4603048 5753810 9206096 11507620 23015240 27042907 46030480 54085814 108171628 135214535 216343256 270429070 432686512 540858140 1081716280 2163432560