Search a number
-
+
49105957469504 = 2613411439550817
BaseRepresentation
bin10110010101001010111110…
…01001101011110101000000
320102212111001121101222201012
423022211133021223311000
522414023000103011004
6252234544311100052
713225534255331255
oct1312453711536500
9212774047358635
1049105957469504
11147127a0890311
125611091971628
132152897291370
14c1aa5351d42c
155a255a66946e
hex2ca95f26bd40

49105957469504 has 56 divisors (see below), whose sum is σ = 107499896884968. Its totient is φ = 22111500533760.

The previous prime is 49105957469467. The next prime is 49105957469519. The reversal of 49105957469504 is 40596475950194.

49105957469504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9521223579904 + 39584733889600 = 3085648^2 + 6291640^2 .

It is a super-2 number, since 2×491059574695042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 719741297 + ... + 719809520.

It is an arithmetic number, because the mean of its divisors is an integer number (1919641015803).

Almost surely, 249105957469504 is an apocalyptic number.

It is an amenable number.

49105957469504 is an abundant number, since it is smaller than the sum of its proper divisors (58393939415464).

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

49105957469504 is a wasteful number, since it uses less digits than its factorization.

49105957469504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439550883 (or 1439550873 counting only the distinct ones).

The product of its (nonzero) digits is 244944000, while the sum is 68.

The spelling of 49105957469504 in words is "forty-nine trillion, one hundred five billion, nine hundred fifty-seven million, four hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 416 533 656 832 1066 1312 2132 2624 4264 8528 17056 34112 1439550817 2879101634 5758203268 11516406536 18714160621 23032813072 37428321242 46065626144 59021583497 74856642484 92131252288 118043166994 149713284968 236086333988 299426569936 472172667976 598853139872 767280585461 944345335952 1197706279744 1534561170922 1888690671904 3069122341844 3777381343808 6138244683688 12276489367376 24552978734752 49105957469504