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10534463640 = 2333589109597
BaseRepresentation
bin10011100111110011…
…10010100010011000
31000012011110012102000
421303321302202120
5133033310314030
64501154041000
7522024314661
oct116371624230
930164405360
1010534463640
1145164804a8
12205bb79160
13cbb64b14c
1471d12a368
15419c82860
hex273e72898

10534463640 has 128 divisors (see below), whose sum is σ = 35509752000. Its totient is φ = 2777601024.

The previous prime is 10534463603. The next prime is 10534463651. The reversal of 10534463640 is 4636443501.

10534463640 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 4 + 4 + 6 + 3 + 640 = 666.

10534463640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105344636402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10534463595 and 10534463604.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 41322 + ... + 150918.

Almost surely, 210534463640 is an apocalyptic number.

10534463640 is a gapful number since it is divisible by the number (10) 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 10534463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17754876000).

10534463640 is an abundant number, since it is smaller than the sum of its proper divisors (24975288360).

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

10534463640 is a wasteful number, since it uses less digits than its factorization.

10534463640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109706 (or 109696 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 10534463640 in words is "ten billion, five hundred thirty-four million, four hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 89 90 108 120 135 178 180 216 267 270 356 360 445 534 540 712 801 890 1068 1080 1335 1602 1780 2136 2403 2670 3204 3560 4005 4806 5340 6408 8010 9612 10680 12015 16020 19224 24030 32040 48060 96120 109597 219194 328791 438388 547985 657582 876776 986373 1095970 1315164 1643955 1972746 2191940 2630328 2959119 3287910 3945492 4383880 4931865 5918238 6575820 7890984 9754133 9863730 11836476 13151640 14795595 19508266 19727460 23672952 29262399 29591190 39016532 39454920 48770665 58524798 59182380 78033064 87787197 97541330 117049596 118364760 146311995 175574394 195082660 234099192 263361591 292623990 351148788 390165320 438935985 526723182 585247980 702297576 877871970 1053446364 1170495960 1316807955 1755743940 2106892728 2633615910 3511487880 5267231820 10534463640