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10891064832 = 293311271801
BaseRepresentation
bin10100010010010100…
…00111011000000000
31001010000110102021120
422021022013120000
5134301103033312
65000413152240
7533614344414
oct121112073000
931100412246
1010891064832
1146897a422a
12213b48b680
1310474a5b7b
14754634d44
1543b22228c
hex289287600

10891064832 has 160 divisors (see below), whose sum is σ = 30203019264. Its totient is φ = 3483648000.

The previous prime is 10891064827. The next prime is 10891064881. The reversal of 10891064832 is 23846019801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6046332 + ... + 6048132.

Almost surely, 210891064832 is an apocalyptic number.

10891064832 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 10891064832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15101509632).

10891064832 is an abundant number, since it is smaller than the sum of its proper divisors (19311954432).

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

10891064832 is a wasteful number, since it uses less digits than its factorization.

10891064832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 10891064832 in words is "ten billion, eight hundred ninety-one million, sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 127 128 186 192 248 254 256 372 381 384 496 508 512 744 762 768 992 1016 1488 1524 1536 1801 1984 2032 2976 3048 3602 3937 3968 4064 5403 5952 6096 7204 7874 7936 8128 10806 11811 11904 12192 14408 15748 15872 16256 21612 23622 23808 24384 28816 31496 32512 43224 47244 47616 48768 55831 57632 62992 65024 86448 94488 97536 111662 115264 125984 167493 172896 188976 195072 223324 228727 230528 251968 334986 345792 377952 446648 457454 461056 503936 669972 686181 691584 755904 893296 914908 922112 1007872 1339944 1372362 1383168 1511808 1786592 1829816 2015744 2679888 2744724 2766336 3023616 3573184 3659632 5359776 5489448 6047232 7090537 7146368 7319264 10719552 10978896 14181074 14292736 14638528 21271611 21439104 21957792 28362148 28585472 29277056 42543222 42878208 43915584 56724296 58554112 85086444 85756416 87831168 113448592 117108224 170172888 175662336 226897184 340345776 351324672 453794368 680691552 907588736 1361383104 1815177472 2722766208 3630354944 5445532416 10891064832