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2166906480 = 243537244021
BaseRepresentation
bin1000000100101000…
…0101111001110000
312121000102020212120
42001022011321300
513414212001410
6555004154240
7104461254414
oct20112057160
95530366776
102166906480
11a12186a02
12505838980
13286c155ab
14167b04d44
15ca381570
hex81285e70

2166906480 has 80 divisors (see below), whose sum is σ = 6898989984. Its totient is φ = 562222080.

The previous prime is 2166906463. The next prime is 2166906493. The reversal of 2166906480 is 846096612.

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

It is a super-3 number, since 3×21669064803 (a number of 29 digits) contains 333 as substring.

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, 113131 + ... + 130890.

Almost surely, 22166906480 is an apocalyptic number.

2166906480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166906480 is an abundant number, since it is smaller than the sum of its proper divisors (4732083504).

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

2166906480 is a wasteful number, since it uses less digits than its factorization.

2166906480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244074 (or 244068 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2166906480 is about 46550.0427497118. The cubic root of 2166906480 is about 1294.0370852556.

The spelling of 2166906480 in words is "two billion, one hundred sixty-six million, nine hundred six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 244021 488042 732063 976084 1220105 1464126 1952168 2440210 2928252 3660315 3904336 4880420 5856504 7320630 9028777 9760840 11713008 14641260 18057554 19521680 27086331 29282520 36115108 45143885 54172662 58565040 72230216 90287770 108345324 135431655 144460432 180575540 216690648 270863310 361151080 433381296 541726620 722302160 1083453240 2166906480