Search a number
-
+
51550872576 = 210372342467
BaseRepresentation
bin110000000000101010…
…111110010000000000
311221001200001122211220
4300000222332100000
51321034010410301
635403202035040
73503323121100
oct600052762000
9157050048756
1051550872576
111a95413a625
129ba8348a80
134b271645c8
1426d06b7200
15151aadc936
hexc00abe400

51550872576 has 132 divisors (see below), whose sum is σ = 159835295088. Its totient is φ = 14728777728.

The previous prime is 51550872553. The next prime is 51550872683. The reversal of 51550872576 is 67527805515.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20706 + ... + 321761.

Almost surely, 251550872576 is an apocalyptic number.

51550872576 is a gapful number since it is divisible by the number (56) 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 51550872576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79917647544).

51550872576 is an abundant number, since it is smaller than the sum of its proper divisors (108284422512).

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

51550872576 is a wasteful number, since it uses less digits than its factorization.

51550872576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342504 (or 342479 counting only the distinct ones).

The product of its (nonzero) digits is 2940000, while the sum is 51.

The spelling of 51550872576 in words is "fifty-one billion, five hundred fifty million, eight hundred seventy-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2352 2688 3072 3136 3584 4704 5376 6272 7168 9408 10752 12544 18816 21504 25088 37632 50176 75264 150528 342467 684934 1027401 1369868 2054802 2397269 2739736 4109604 4794538 5479472 7191807 8219208 9589076 10958944 14383614 16438416 16780883 19178152 21917888 28767228 32876832 33561766 38356304 43835776 50342649 57534456 65753664 67123532 76712608 87671552 100685298 115068912 131507328 134247064 153425216 175343104 201370596 230137824 263014656 268494128 306850432 350686208 402741192 460275648 526029312 536988256 613700864 805482384 920551296 1052058624 1073976512 1227401728 1610964768 1841102592 2147953024 2454803456 3221929536 3682205184 4295906048 6443859072 7364410368 8591812096 12887718144 17183624192 25775436288 51550872576