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933044137984 = 2127143322709
BaseRepresentation
bin11011001001111011100…
…00111011000000000000
310022012100110011012212201
431210331300323000000
5110241333244403414
61552345022002544
7124260463213150
oct15447560730000
93265313135781
10933044137984
1132a77a100842
121309b6716454
1369ca771a88a
1433233c46760
151940d517574
hexd93dc3b000

933044137984 has 104 divisors (see below), whose sum is σ = 2133994021920. Its totient is φ = 399579414528.

The previous prime is 933044137943. The next prime is 933044138003. The reversal of 933044137984 is 489731440339.

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 7 ways as a sum of consecutive naturals, for example, 41075622 + ... + 41098330.

Almost surely, 2933044137984 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 933044137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066997010960).

933044137984 is an abundant number, since it is smaller than the sum of its proper divisors (1200949883936).

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

933044137984 is a wasteful number, since it uses less digits than its factorization.

933044137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24173 (or 24151 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 933044137984 in words is "nine hundred thirty-three billion, forty-four million, one hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1433 1792 2048 2866 3584 4096 5732 7168 10031 11464 14336 20062 22709 22928 28672 40124 45418 45856 80248 90836 91712 158963 160496 181672 183424 317926 320992 363344 366848 635852 641984 726688 733696 1271704 1283968 1453376 1467392 2543408 2567936 2906752 2934784 5086816 5135872 5813504 5869568 10173632 10271744 11627008 20347264 20543488 23254016 32541997 40694528 41086976 46508032 65083994 81389056 93016064 130167988 162778112 227793979 260335976 325556224 455587958 520671952 651112448 911175916 1041343904 1822351832 2082687808 3644703664 4165375616 7289407328 8330751232 14578814656 16661502464 29157629312 33323004928 58315258624 66646009856 116630517248 133292019712 233261034496 466522068992 933044137984