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49950412416 = 273243359733
BaseRepresentation
bin101110100001010001…
…101100111010000000
311202221010111212020200
4232201101230322000
51304244301144131
634540310405200
73415550333352
oct564121547200
9152833455220
1049950412416
111a202784183
129820360800
1349306ca268
1425bbd030d2
15147534c2e6
hexba146ce80

49950412416 has 48 divisors (see below), whose sum is σ = 143737518210. Its totient is φ = 16650137088.

The previous prime is 49950412399. The next prime is 49950412417. The reversal of 49950412416 is 61421405994.

49950412416 is a `hidden beast` number, since 4 + 9 + 9 + 504 + 124 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39958410816 + 9992001600 = 199896^2 + 99960^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (49950412417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21678715 + ... + 21681018.

Almost surely, 249950412416 is an apocalyptic number.

It is an amenable number.

49950412416 is an abundant number, since it is smaller than the sum of its proper divisors (93787105794).

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

49950412416 is a wasteful number, since it uses less digits than its factorization.

49950412416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43359753 (or 43359738 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 49950412416 in words is "forty-nine billion, nine hundred fifty million, four hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 43359733 86719466 130079199 173438932 260158398 346877864 390237597 520316796 693755728 780475194 1040633592 1387511456 1560950388 2081267184 2775022912 3121900776 4162534368 5550045824 6243801552 8325068736 12487603104 16650137472 24975206208 49950412416