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49768255744 = 287321912
BaseRepresentation
bin101110010110011010…
…110101000100000000
311202110102202100021021
4232112122311010000
51303411133140434
634510242235224
73411206123344
oct562632650400
9152412670237
1049768255744
111a119979179
12978b355b14
134901a4c84c
1425a1a47624
151464369cb4
hexb966b5100

49768255744 has 81 divisors (see below), whose sum is σ = 101251695909. Its totient is φ = 24414750720.

The previous prime is 49768255727. The next prime is 49768255753. The reversal of 49768255744 is 44755286794.

The square root of 49768255744 is 223088.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28250886400 + 21517369344 = 168080^2 + 146688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 260566689 + ... + 260566879.

Almost surely, 249768255744 is an apocalyptic number.

49768255744 is the 223088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49768255744

49768255744 is an abundant number, since it is smaller than the sum of its proper divisors (51483440165).

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

49768255744 is an frugal number, since it uses more digits than its factorization.

49768255744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 266 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 61.

The spelling of 49768255744 in words is "forty-nine billion, seven hundred sixty-eight million, two hundred fifty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 191 256 292 382 584 764 1168 1528 2336 3056 4672 5329 6112 9344 10658 12224 13943 18688 21316 24448 27886 36481 42632 48896 55772 72962 85264 111544 145924 170528 223088 291848 341056 446176 583696 682112 892352 1017839 1167392 1364224 1784704 2035678 2334784 2663113 3569408 4071356 4669568 5326226 8142712 9339136 10652452 16285424 21304904 32570848 42609808 65141696 85219616 130283392 170439232 194407249 260566784 340878464 388814498 681756928 777628996 1555257992 3110515984 6221031968 12442063936 24884127872 49768255744