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132737443104 = 25371910396103
BaseRepresentation
bin111101110011111000…
…1001010010100100000
3110200121200220202121110
41323213301022110200
54133321241134404
6140551224023320
712406233436020
oct1734761122440
9420550822543
10132737443104
115132590a702
1221885601b40
13c69506b056
1465d2c87a80
1536bd342b89
hex1ee7c4a520

132737443104 has 96 divisors (see below), whose sum is σ = 419170913280. Its totient is φ = 35928928512.

The previous prime is 132737443087. The next prime is 132737443151. The reversal of 132737443104 is 401344737231.

132737443104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 5185284 + ... + 5210819.

It is an arithmetic number, because the mean of its divisors is an integer number (4366363680).

Almost surely, 2132737443104 is an apocalyptic number.

132737443104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132737443104 is an abundant number, since it is smaller than the sum of its proper divisors (286433470176).

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

132737443104 is a wasteful number, since it uses less digits than its factorization.

132737443104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10396142 (or 10396134 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 132737443104 in words is "one hundred thirty-two billion, seven hundred thirty-seven million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 10396103 20792206 31188309 41584412 62376618 72772721 83168824 124753236 145545442 166337648 197525957 218318163 249506472 291090884 332675296 395051914 436636326 499012944 582181768 592577871 790103828 873272652 998025888 1164363536 1185155742 1382681699 1580207656 1746545304 2328727072 2370311484 2765363398 3160415312 3493090608 4148045097 4740622968 5530726796 6320830624 6986181216 8296090194 9481245936 11061453592 16592180388 18962491872 22122907184 33184360776 44245814368 66368721552 132737443104