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189391304736 = 2534316923057
BaseRepresentation
bin1011000001100010011…
…0011111100000100000
3200002212000011010110000
42300120212133200200
511100333133222421
6223001040540000
716453202346204
oct2603046374040
9602760133400
10189391304736
11733584aa457
1230856921600
1314b234b03ba
149249190b04
154dd6e2c226
hex2c1899f820

189391304736 has 120 divisors (see below), whose sum is σ = 557194494780. Its totient is φ = 63107776512.

The previous prime is 189391304717. The next prime is 189391304741. The reversal of 189391304736 is 637403193981.

It is a happy number.

189391304736 is a `hidden beast` number, since 1 + 8 + 9 + 39 + 130 + 473 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 151305440400 + 38085864336 = 388980^2 + 195156^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8202520 + ... + 8225576.

Almost surely, 2189391304736 is an apocalyptic number.

189391304736 is a gapful number since it is divisible by the number (16) 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 189391304736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278597247390).

189391304736 is an abundant number, since it is smaller than the sum of its proper divisors (367803190044).

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

189391304736 is a wasteful number, since it uses less digits than its factorization.

189391304736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26248 (or 26231 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 189391304736 in words is "one hundred eighty-nine billion, three hundred ninety-one million, three hundred four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 3169 6338 9507 12676 19014 23057 25352 28521 38028 46114 50704 57042 69171 76056 85563 92228 101408 114084 138342 152112 171126 184456 207513 228168 256689 276684 304224 342252 368912 415026 456336 513378 553368 622539 684504 737824 830052 912672 1026756 1106736 1245078 1369008 1660104 1867617 2053512 2213472 2490156 2738016 3320208 3735234 4107024 4980312 6640416 7470468 8214048 9960624 14940936 19921248 29881872 59763744 73067633 146135266 219202899 292270532 438405798 584541064 657608697 876811596 1169082128 1315217394 1753623192 1972826091 2338164256 2630434788 3507246384 3945652182 5260869576 5918478273 7014492768 7891304364 10521739152 11836956546 15782608728 21043478304 23673913092 31565217456 47347826184 63130434912 94695652368 189391304736