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12753490832640 = 28335369024619
BaseRepresentation
bin1011100110010110011101…
…0010100110110100000000
31200011012222201000100022000
42321211213102212310000
53132423122123121030
643042512305344000
72454260251300305
oct271454722466400
950135881010260
1012753490832640
1140777a81017a8
12151b866338000
13716858ba628c
143213b50a70ac
15171b33068860
hexb99674a6d00

12753490832640 has 144 divisors (see below), whose sum is σ = 45257179396800. Its totient is φ = 3400930879488.

The previous prime is 12753490832633. The next prime is 12753490832669. The reversal of 12753490832640 is 4623809435721.

12753490832640 is a `hidden beast` number, since 1 + 2 + 7 + 53 + 490 + 83 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 184477750 + ... + 184546869.

It is a 1-persistent number, because it is pandigital, but 2⋅12753490832640 = 25506981665280 is not.

Almost surely, 212753490832640 is an apocalyptic number.

12753490832640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12753490832640 is an abundant number, since it is smaller than the sum of its proper divisors (32503688564160).

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

12753490832640 is an equidigital number, since it uses as much as digits as its factorization.

12753490832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369024649 (or 369024629 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 12753490832640 in words is "twelve trillion, seven hundred fifty-three billion, four hundred ninety million, eight hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 369024619 738049238 1107073857 1476098476 1845123095 2214147714 2952196952 3321221571 3690246190 4428295428 5535369285 5904393904 6642443142 7380492380 8856590856 9963664713 11070738570 11808787808 13284886284 14760984760 16606107855 17713181712 19927329426 22141477140 23617575616 26569772568 29521969520 33212215710 35426363424 39854658852 44282954280 47235151232 49818323565 53139545136 59043939040 66424431420 70852726848 79709317704 88565908560 94470302464 99636647130 106279090272 118087878080 132848862840 141705453696 159418635408 177131817120 199273294260 212558180544 236175756160 265697725680 283410907392 318837270816 354263634240 398546588520 425116361088 472351512320 531395451360 637674541632 708527268480 797093177040 850232722176 1062790902720 1275349083264 1417054536960 1594186354080 2125581805440 2550698166528 3188372708160 4251163610880 6376745416320 12753490832640