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189891306072 = 2335137513901
BaseRepresentation
bin1011000011011001100…
…1110110001001011000
3200011010211222211100000
42300312121312021120
511102344133243242
6223122421413000
716501453320066
oct2606631661130
9604124884300
10189891306072
11735947678a6
123097626a160
1314ba2c65c90
149295747036
154e15c95a4c
hex2c36676258

189891306072 has 96 divisors (see below), whose sum is σ = 574362668880. Its totient is φ = 58428086400.

The previous prime is 189891306071. The next prime is 189891306079. The reversal of 189891306072 is 270603198981.

189891306072 is a `hidden beast` number, since 18 + 9 + 8 + 9 + 13 + 0 + 607 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189891306071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3731679 + ... + 3782222.

Almost surely, 2189891306072 is an apocalyptic number.

189891306072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

189891306072 is an abundant number, since it is smaller than the sum of its proper divisors (384471362808).

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

189891306072 is a wasteful number, since it uses less digits than its factorization.

189891306072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7513935 (or 7513919 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 189891306072 in words is "one hundred eighty-nine billion, eight hundred ninety-one million, three hundred six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 4212 6318 8424 12636 25272 7513901 15027802 22541703 30055604 45083406 60111208 67625109 90166812 97680713 135250218 180333624 195361426 202875327 270500436 293042139 390722852 405750654 541000872 586084278 608625981 781445704 811501308 879126417 1172168556 1217251962 1623002616 1758252834 1825877943 2344337112 2434503924 2637379251 3516505668 3651755886 4869007848 5274758502 7033011336 7303511772 7912137753 10549517004 14607023544 15824275506 21099034008 23736413259 31648551012 47472826518 63297102024 94945653036 189891306072