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213239054880 = 253251391065343
BaseRepresentation
bin1100011010011000001…
…0011100001000100000
3202101101222220100121100
43012212002130020200
511443203144224010
6241543300554400
721256156026435
oct3064602341040
9671358810540
10213239054880
1182485984075
12353b13b2a00
13171540a0767
14a46c4b7b8c
1558308972c0
hex31a609c220

213239054880 has 144 divisors (see below), whose sum is σ = 732914058240. Its totient is φ = 56454603264.

The previous prime is 213239054857. The next prime is 213239054881. The reversal of 213239054880 is 88450932312.

213239054880 is a `hidden beast` number, since 2 + 1 + 3 + 23 + 9 + 0 + 548 + 80 = 666.

213239054880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2132390548802 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (213239054881) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 332512 + ... + 732831.

It is an arithmetic number, because the mean of its divisors is an integer number (5089680960).

Almost surely, 2213239054880 is an apocalyptic number.

213239054880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213239054880 is an abundant number, since it is smaller than the sum of its proper divisors (519675003360).

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

213239054880 is a wasteful number, since it uses less digits than its factorization.

213239054880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065503 (or 1065492 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 213239054880 in words is "two hundred thirteen billion, two hundred thirty-nine million, fifty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 139 144 160 180 240 278 288 360 417 480 556 695 720 834 1112 1251 1390 1440 1668 2085 2224 2502 2780 3336 4170 4448 5004 5560 6255 6672 8340 10008 11120 12510 13344 16680 20016 22240 25020 33360 40032 50040 66720 100080 200160 1065343 2130686 3196029 4261372 5326715 6392058 8522744 9588087 10653430 12784116 15980145 17045488 19176174 21306860 25568232 31960290 34090976 38352348 42613720 47940435 51136464 63920580 76704696 85227440 95880870 102272928 127841160 148082677 153409392 170454880 191761740 255682320 296165354 306818784 383523480 444248031 511364640 592330708 740413385 767046960 888496062 1184661416 1332744093 1480826770 1534093920 1776992124 2221240155 2369322832 2665488186 2961653540 3553984248 4442480310 4738645664 5330976372 5923307080 6663720465 7107968496 8884960620 10661952744 11846614160 13327440930 14215936992 17769921240 21323905488 23693228320 26654881860 35539842480 42647810976 53309763720 71079684960 106619527440 213239054880