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132169949040 = 2435712977249
BaseRepresentation
bin111101100010111110…
…0010101111101110000
3110122011011002002002210
41323011330111331300
54131141001332130
6140415032412120
712356203013253
oct1730574257560
9418134062083
10132169949040
1151064543a48
1221747547040
13c604613c4c
14657b76309a
1536885e65b0
hex1ec5f15f70

132169949040 has 80 divisors (see below), whose sum is σ = 409789620000. Its totient is φ = 35239919616.

The previous prime is 132169949039. The next prime is 132169949081. The reversal of 132169949040 is 40949961231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1672336 + ... + 1749584.

It is an arithmetic number, because the mean of its divisors is an integer number (5122370250).

Almost surely, 2132169949040 is an apocalyptic number.

132169949040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132169949040 is an abundant number, since it is smaller than the sum of its proper divisors (277619670960).

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

132169949040 is a wasteful number, since it uses less digits than its factorization.

132169949040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84394 (or 84388 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 132169949040 in words is "one hundred thirty-two billion, one hundred sixty-nine million, nine hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 7129 14258 21387 28516 35645 42774 57032 71290 77249 85548 106935 114064 142580 154498 171096 213870 231747 285160 308996 342192 386245 427740 463494 570320 617992 772490 855480 926988 1158735 1235984 1544980 1710960 1853976 2317470 3089960 3707952 4634940 6179920 9269880 18539760 550708121 1101416242 1652124363 2202832484 2753540605 3304248726 4405664968 5507081210 6608497452 8260621815 8811329936 11014162420 13216994904 16521243630 22028324840 26433989808 33042487260 44056649680 66084974520 132169949040