Search a number
-
+
12152055040 = 28537256589
BaseRepresentation
bin10110101000101000…
…11010010100000000
31011100220020100122121
423110110122110000
5144341411230130
65325500414024
7610065522616
oct132424322400
934326210577
1012152055040
1151765778a4
122431847314
1311b8802c18
14833cbd6b6
154b1ca8d7a
hex2d451a500

12152055040 has 72 divisors (see below), whose sum is σ = 29894787720. Its totient is φ = 4729430016.

The previous prime is 12152055031. The next prime is 12152055043. The reversal of 12152055040 is 4055025121.

It can be written as a sum of positive squares in 4 ways, for example, as 2241454336 + 9910600704 = 47344^2 + 99552^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12152054996 and 12152055014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12152055043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80935 + ... + 175654.

It is an arithmetic number, because the mean of its divisors is an integer number (415205385).

Almost surely, 212152055040 is an apocalyptic number.

12152055040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12152055040 is an abundant number, since it is smaller than the sum of its proper divisors (17742732680).

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

12152055040 is an equidigital number, since it uses as much as digits as its factorization.

12152055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256647 (or 256633 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 12152055040 in words is "twelve billion, one hundred fifty-two million, fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 592 640 740 1184 1280 1480 2368 2960 4736 5920 9472 11840 23680 47360 256589 513178 1026356 1282945 2052712 2565890 4105424 5131780 8210848 9493793 10263560 16421696 18987586 20527120 32843392 37975172 41054240 47468965 65686784 75950344 82108480 94937930 151900688 164216960 189875860 303801376 328433920 379751720 607602752 759503440 1215205504 1519006880 2430411008 3038013760 6076027520 12152055040