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50661752832 = 2163328631
BaseRepresentation
bin101111001011101011…
…010000000000000000
311211202201000200212000
4233023223100000000
51312223402042312
635135041104000
73442305536205
oct571353200000
9154681020760
1050661752832
111a538269819
12999a628000
134a14baa352
14264858dcac
1514b7a0eadc
hexbcbad0000

50661752832 has 136 divisors (see below), whose sum is σ = 150112994880. Its totient is φ = 16886661120.

The previous prime is 50661752777. The next prime is 50661752899. The reversal of 50661752832 is 23825716605.

50661752832 is a `hidden beast` number, since 5 + 0 + 6 + 617 + 5 + 28 + 3 + 2 = 666.

It is a super-2 number, since 2×506617528322 (a number of 22 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1755157 + ... + 1783787.

Almost surely, 250661752832 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 50661752832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75056497440).

50661752832 is an abundant number, since it is smaller than the sum of its proper divisors (99451242048).

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

50661752832 is an frugal number, since it uses more digits than its factorization.

50661752832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28672 (or 28636 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 50661752832 in words is "fifty billion, six hundred sixty-one million, seven hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 16384 18432 24576 27648 28631 32768 36864 49152 55296 57262 65536 73728 85893 98304 110592 114524 147456 171786 196608 221184 229048 257679 294912 343572 442368 458096 515358 589824 687144 773037 884736 916192 1030716 1374288 1546074 1769472 1832384 2061432 2748576 3092148 3664768 4122864 5497152 6184296 7329536 8245728 10994304 12368592 14659072 16491456 21988608 24737184 29318144 32982912 43977216 49474368 58636288 65965824 87954432 98948736 117272576 131931648 175908864 197897472 234545152 263863296 351817728 395794944 469090304 527726592 703635456 791589888 938180608 1055453184 1407270912 1583179776 1876361216 2110906368 2814541824 3166359552 4221812736 5629083648 6332719104 8443625472 12665438208 16887250944 25330876416 50661752832