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81000610944 = 2731131760493
BaseRepresentation
bin100101101110000000…
…0110011110010000000
321202002001221101011120
41023130000303302000
52311342124022234
6101113340112240
75565161555451
oct1133400636200
9252061841146
1081000610944
1131396807980
1213846b35680
13783b5270b6
143cc5a05128
152191271049
hex12dc033c80

81000610944 has 128 divisors (see below), whose sum is σ = 235462006080. Its totient is φ = 24467804160.

The previous prime is 81000610913. The next prime is 81000610963. The reversal of 81000610944 is 44901600018.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×810006109442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308762 + ... + 1369254.

Almost surely, 281000610944 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 81000610944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117731003040).

81000610944 is an abundant number, since it is smaller than the sum of its proper divisors (154461395136).

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

81000610944 is a wasteful number, since it uses less digits than its factorization.

81000610944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60838 (or 60826 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 81000610944 in words is "eighty-one billion, six hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 317 352 384 528 634 704 951 1056 1268 1408 1902 2112 2536 3487 3804 4224 5072 6974 7608 10144 10461 13948 15216 20288 20922 27896 30432 40576 41844 55792 60493 60864 83688 111584 120986 121728 167376 181479 223168 241972 334752 362958 446336 483944 665423 669504 725916 967888 1330846 1339008 1451832 1935776 1996269 2661692 2903664 3871552 3992538 5323384 5807328 7743104 7985076 10646768 11614656 15970152 19176281 21293536 23229312 31940304 38352562 42587072 57528843 63880608 76705124 85174144 115057686 127761216 153410248 210939091 230115372 255522432 306820496 421878182 460230744 613640992 632817273 843756364 920461488 1227281984 1265634546 1687512728 1840922976 2454563968 2531269092 3375025456 3681845952 5062538184 6750050912 7363691904 10125076368 13500101824 20250152736 27000203648 40500305472 81000610944