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189378603936 = 2534193845407
BaseRepresentation
bin1011000001011111011…
…0000010101110100000
3200002211010020212020000
42300113312002232200
511100321410311221
6222555504420000
716452656400504
oct2602766025640
9602733225200
10189378603936
1173351315125
1230852617600
1314b20984432
149247606304
154dd5c6de26
hex2c17d82ba0

189378603936 has 120 divisors (see below), whose sum is σ = 586270903680. Its totient is φ = 59803754112.

The previous prime is 189378603893. The next prime is 189378603949. The reversal of 189378603936 is 639306873981.

189378603936 is a `hidden beast` number, since 18 + 9 + 3 + 7 + 8 + 603 + 9 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1873456 + ... + 1971951.

It is an arithmetic number, because the mean of its divisors is an integer number (4885590864).

Almost surely, 2189378603936 is an apocalyptic number.

189378603936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

189378603936 is an abundant number, since it is smaller than the sum of its proper divisors (396892299744).

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

189378603936 is a wasteful number, since it uses less digits than its factorization.

189378603936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845448 (or 3845431 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 189378603936 in words is "one hundred eighty-nine billion, three hundred seventy-eight million, six hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2052 2592 2736 3078 4104 5472 6156 8208 12312 16416 24624 49248 3845407 7690814 11536221 15381628 23072442 30763256 34608663 46144884 61526512 69217326 73062733 92289768 103825989 123053024 138434652 146125466 184579536 207651978 219188199 276869304 292250932 311477967 369159072 415303956 438376398 553738608 584501864 622955934 657564597 830607912 876752796 1107477216 1169003728 1245911868 1315129194 1661215824 1753505592 1972693791 2338007456 2491823736 2630258388 3322431648 3507011184 3945387582 4983647472 5260516776 5918081373 7014022368 7890775164 9967294944 10521033552 11836162746 15781550328 21042067104 23672325492 31563100656 47344650984 63126201312 94689301968 189378603936