Search a number
-
+
32049438835968 = 28334636782239
BaseRepresentation
bin1110100100110000101110…
…11010101100010100000000
311012110220012111102200202000
413102120113122230110000
513200044222320222333
6152055150422024000
76515331654150261
oct722302732542400
9135426174380660
1032049438835968
11a2370aa772064
123717490278000
1314b63313c44c8
147cb2b5c12968
153a8a2d250713
hex1d26176ac500

32049438835968 has 72 divisors (see below), whose sum is σ = 94775828985600. Its totient is φ = 10683146276352.

The previous prime is 32049438835951. The next prime is 32049438836039. The reversal of 32049438835968 is 86953883494023.

It is a happy number.

32049438835968 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 9 + 438 + 83 + 59 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 32049438835896 and 32049438835905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2318384208 + ... + 2318398031.

Almost surely, 232049438835968 is an apocalyptic number.

It is an amenable number.

32049438835968 is an abundant number, since it is smaller than the sum of its proper divisors (62726390149632).

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

32049438835968 is an equidigital number, since it uses as much as digits as its factorization.

32049438835968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636782264 (or 4636782244 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 32049438835968 in words is "thirty-two trillion, forty-nine billion, four hundred thirty-eight million, eight hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 4636782239 9273564478 13910346717 18547128956 27820693434 37094257912 41731040151 55641386868 74188515824 83462080302 111282773736 125193120453 148377031648 166924160604 222565547472 250386240906 296754063296 333848321208 445131094944 500772481812 593508126592 667696642416 890262189888 1001544963624 1187016253184 1335393284832 1780524379776 2003089927248 2670786569664 3561048759552 4006179854496 5341573139328 8012359708992 10683146278656 16024719417984 32049438835968