Search a number
-
+
46466717638144 = 29312927590577
BaseRepresentation
bin10101001000010111000000…
…01100101101111000000000
320002112011201110001010002111
422210023200030231320000
522042302314203410034
6242454303154025104
712534052403034406
oct1244134014557000
9202464643033074
1046466717638144
11138954737a3941
125265689878194
131cc0a3c66528b
14b69003179476
15558a8c942364
hex2a42e032de00

46466717638144 has 40 divisors (see below), whose sum is σ = 95837605161408. Its totient is φ = 22483895623680.

The previous prime is 46466717638127. The next prime is 46466717638157. The reversal of 46466717638144 is 44183671766464.

It is a self number, because there is not a number n which added to its sum of digits gives 46466717638144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1463779417 + ... + 1463811160.

Almost surely, 246466717638144 is an apocalyptic number.

It is an amenable number.

46466717638144 is an abundant number, since it is smaller than the sum of its proper divisors (49370887523264).

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

46466717638144 is an equidigital number, since it uses as much as digits as its factorization.

46466717638144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927590626 (or 2927590610 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 67.

The spelling of 46466717638144 in words is "forty-six trillion, four hundred sixty-six billion, seven hundred seventeen million, six hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1984 3968 7936 15872 2927590577 5855181154 11710362308 23420724616 46841449232 90755307887 93682898464 181510615774 187365796928 363021231548 374731593856 726042463096 749463187712 1452084926192 1498926375424 2904169852384 5808339704768 11616679409536 23233358819072 46466717638144