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49284435456 = 293210998123
BaseRepresentation
bin101101111001100101…
…001100111000000000
311201012201100201121100
4231321211030320000
51301413303413311
634350240254400
73363212534514
oct557145147000
9151181321540
1049284435456
11199a08628a3
129675311400
134855741059
1425576a4144
151436b4aa56
hexb7994ce00

49284435456 has 120 divisors (see below), whose sum is σ = 143544618360. Its totient is φ = 16277262336.

The previous prime is 49284435383. The next prime is 49284435461. The reversal of 49284435456 is 65453448294.

49284435456 is a `hidden beast` number, since 4 + 9 + 284 + 4 + 354 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 453211 + ... + 551333.

It is an arithmetic number, because the mean of its divisors is an integer number (1196205153).

Almost surely, 249284435456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49284435456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71772309180).

49284435456 is an abundant number, since it is smaller than the sum of its proper divisors (94260182904).

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

49284435456 is a wasteful number, since it uses less digits than its factorization.

49284435456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98256 (or 98237 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 49284435456 in words is "forty-nine billion, two hundred eighty-four million, four hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 128 144 192 218 256 288 327 384 436 512 576 654 768 872 981 1152 1308 1536 1744 1962 2304 2616 3488 3924 4608 5232 6976 7848 10464 13952 15696 20928 27904 31392 41856 55808 62784 83712 98123 125568 167424 196246 251136 294369 392492 502272 588738 784984 883107 1177476 1569968 1766214 2354952 3139936 3532428 4709904 6279872 7064856 9419808 10695407 12559744 14129712 18839616 21390814 25119488 28259424 32086221 37679232 42781628 50238976 56518848 64172442 75358464 85563256 96258663 113037696 128344884 150716928 171126512 192517326 226075392 256689768 342253024 385034652 452150784 513379536 684506048 770069304 1026759072 1369012096 1540138608 2053518144 2738024192 3080277216 4107036288 5476048384 6160554432 8214072576 12321108864 16428145152 24642217728 49284435456