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942104193536 = 29113120812593
BaseRepresentation
bin11011011010110011100…
…10010010101000000000
310100001201212020201121202
431231121302102220000
5110413412133143121
62000444030240332
7125031135342242
oct15553162225000
93301655221552
10942104193536
113335a9290660
121327049560a8
136aabc7671ac
1433853212092
151978db0840b
hexdb59c92a00

942104193536 has 160 divisors (see below), whose sum is σ = 2121570925056. Its totient is φ = 414056448000.

The previous prime is 942104193517. The next prime is 942104193557. The reversal of 942104193536 is 635391401249.

It is a super-2 number, since 2×9421041935362 (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 363324656 + ... + 363327248.

Almost surely, 2942104193536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 942104193536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060785462528).

942104193536 is an abundant number, since it is smaller than the sum of its proper divisors (1179466731520).

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

942104193536 is a wasteful number, since it uses less digits than its factorization.

942104193536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 942104193536 in words is "nine hundred forty-two billion, one hundred four million, one hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 682 704 992 1364 1408 1984 2081 2593 2728 2816 3968 4162 5186 5456 5632 7936 8324 10372 10912 15872 16648 20744 21824 22891 28523 33296 41488 43648 45782 57046 64511 66592 80383 82976 87296 91564 114092 129022 133184 160766 165952 174592 183128 228184 258044 266368 321532 331904 366256 456368 516088 532736 643064 663808 709621 732512 884213 912736 1032176 1065472 1286128 1327616 1419242 1465024 1768426 1825472 2064352 2572256 2838484 2930048 3536852 3650944 4128704 5144512 5396033 5676968 5860096 7073704 7301888 8257408 10289024 10792066 11353936 11720192 14147408 14603776 16514816 20578048 21584132 22707872 28294816 33029632 41156096 43168264 45415744 56589632 59356363 86336528 90831488 113179264 118712726 167277023 172673056 181662976 226358528 237425452 334554046 345346112 363325952 452717056 474850904 669108092 690692224 949701808 1338216184 1381384448 1840047253 1899403616 2676432368 2762768896 3680094506 3798807232 5352864736 7360189012 7597614464 10705729472 14720378024 15195228928 21411458944 29440756048 30390457856 42822917888 58881512096 85645835776 117763024192 235526048384 471052096768 942104193536