Search a number
-
+
46092117077776 = 24711220731694941
BaseRepresentation
bin10100111101011101010000…
…10000111110111100010000
320001012100210212222222002001
422132232220100332330100
522020133123432442101
6242010232024003344
712465021425563660
oct1236565020767420
9201170725888061
1046092117077776
1113760614520470
125204b64900554
131c94611236973
14b54c2841a1a0
1554de65d1d901
hex29eba843ef10

46092117077776 has 80 divisors (see below), whose sum is σ = 111344509531008. Its totient is φ = 17957143526400.

The previous prime is 46092117077771. The next prime is 46092117077791. The reversal of 46092117077776 is 67777071129064.

46092117077776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×460921170777762 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46092117077771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26346466 + ... + 28041406.

Almost surely, 246092117077776 is an apocalyptic number.

It is an amenable number.

46092117077776 is an abundant number, since it is smaller than the sum of its proper divisors (65252392453232).

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

46092117077776 is a wasteful number, since it uses less digits than its factorization.

46092117077776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717040 (or 1717034 counting only the distinct ones).

The product of its (nonzero) digits is 43563744, while the sum is 64.

The spelling of 46092117077776 in words is "forty-six trillion, ninety-two billion, one hundred seventeen million, seventy-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 22073 44146 88292 154511 176584 242803 309022 353168 485606 618044 971212 1236088 1694941 1699621 1942424 2472176 3389882 3399242 3884848 6779764 6798484 11864587 13559528 13596968 18644351 23729174 27119056 27193936 37288702 47458348 74577404 94916696 130510457 149154808 189833392 261020914 298309616 522041828 1044083656 2088167312 37412432693 74824865386 149649730772 261887028851 299299461544 411536759623 523774057702 598598923088 823073519246 1047548115404 1646147038492 2095096230808 2880757317361 3292294076984 4190192461616 5761514634722 6584588153968 11523029269444 23046058538888 46092117077776