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15027948026952 = 23371134191889287
BaseRepresentation
bin1101101010101111011110…
…0000001111110001001000
31222012122202112111020202220
43122223313200033301020
53432204214143330302
651543424412454040
73110506363410540
oct332536740176110
958178675436686
1015027948026952
114874353979913
12182862547a320
1385018b441033
1439d4dc5b6320
151b0da10614bc
hexdaaf780fc48

15027948026952 has 128 divisors (see below), whose sum is σ = 43420372531200. Its totient is φ = 4245543042048.

The previous prime is 15027948026929. The next prime is 15027948026953. The reversal of 15027948026952 is 25962084972051.

It is not an unprimeable number, because it can be changed into a prime (15027948026953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7009653 + ... + 8898939.

It is an arithmetic number, because the mean of its divisors is an integer number (339221660400).

Almost surely, 215027948026952 is an apocalyptic number.

15027948026952 is a gapful number since it is divisible by the number (12) 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 15027948026952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21710186265600).

15027948026952 is an abundant number, since it is smaller than the sum of its proper divisors (28392424504248).

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

15027948026952 is a wasteful number, since it uses less digits than its factorization.

15027948026952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889835 (or 1889831 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 15027948026952 in words is "fifteen trillion, twenty-seven billion, nine hundred forty-eight million, twenty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 419 452 678 791 838 904 1257 1356 1582 1676 2373 2514 2712 2933 3164 3352 4746 5028 5866 6328 8799 9492 10056 11732 17598 18984 23464 35196 47347 70392 94694 142041 189388 284082 331429 378776 568164 662858 994287 1136328 1325716 1889287 1988574 2651432 3778574 3977148 5667861 7557148 7954296 11335722 13225009 15114296 22671444 26450018 39675027 45342888 52900036 79350054 105800072 158700108 213489431 317400216 426978862 640468293 791611253 853957724 1280936586 1494426017 1583222506 1707915448 2374833759 2561873172 2988852034 3166445012 4483278051 4749667518 5123746344 5541278771 5977704068 6332890024 8966556102 9499335036 11082557542 11955408136 16623836313 17933112204 18998670072 22165115084 33247672626 35866224408 44330230168 66495345252 89452071589 132990690504 178904143178 268356214767 357808286356 536712429534 626164501123 715616572712 1073424859068 1252329002246 1878493503369 2146849718136 2504658004492 3756987006738 5009316008984 7513974013476 15027948026952