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51176233472 = 297213156913
BaseRepresentation
bin101111101010010101…
…110101101000000000
311220002120010000121112
4233222111311220000
51314302103432342
635302100142452
73461123543600
oct575225655000
9156076100545
1051176233472
111a781716731
129b02997a28
134a97662570
142696a34c00
1514e7c88682
hexbea575a00

51176233472 has 120 divisors (see below), whose sum is σ = 128097371556. Its totient is φ = 20245413888.

The previous prime is 51176233469. The next prime is 51176233489. The reversal of 51176233472 is 27433267115.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51032617216 + 143616256 = 225904^2 + 11984^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247688 + ... + 404600.

Almost surely, 251176233472 is an apocalyptic number.

51176233472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51176233472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64048685778).

51176233472 is an abundant number, since it is smaller than the sum of its proper divisors (76921138084).

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

51176233472 is a wasteful number, since it uses less digits than its factorization.

51176233472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156958 (or 156935 counting only the distinct ones).

The product of its digits is 211680, while the sum is 41.

The spelling of 51176233472 in words is "fifty-one billion, one hundred seventy-six million, two hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1274 1456 1568 1664 1792 2548 2912 3136 3328 3584 5096 5824 6272 6656 10192 11648 12544 20384 23296 25088 40768 46592 81536 156913 163072 313826 326144 627652 1098391 1255304 2039869 2196782 2510608 4079738 4393564 5021216 7688737 8159476 8787128 10042432 14279083 15377474 16318952 17574256 20084864 28558166 30754948 32637904 35148512 40169728 57116332 61509896 65275808 70297024 80339456 99953581 114232664 123019792 130551616 140594048 199907162 228465328 246039584 261103232 281188096 399814324 456930656 492079168 522206464 562376192 799628648 913861312 984158336 1044412928 1599257296 1827722624 1968316672 3198514592 3655445248 3936633344 6397029184 7310890496 12794058368 25588116736 51176233472