Search a number
-
+
50681870176 = 2571033895647
BaseRepresentation
bin101111001100110111…
…111111011101100000
311211211002212202122211
4233030313333131200
51312244024321201
635141040211504
73442641534310
oct571467773540
9154732782584
1050681870176
111a54865a223
1299a5309b94
134a19101cc2
14264b109440
1514b9685651
hexbccdff760

50681870176 has 96 divisors (see below), whose sum is σ = 115457771520. Its totient is φ = 21450825216.

The previous prime is 50681870123. The next prime is 50681870203. The reversal of 50681870176 is 67107818605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8972185 + ... + 8977831.

It is an arithmetic number, because the mean of its divisors is an integer number (1202685120).

Almost surely, 250681870176 is an apocalyptic number.

50681870176 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 50681870176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57728885760).

50681870176 is an abundant number, since it is smaller than the sum of its proper divisors (64775901344).

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

50681870176 is a wasteful number, since it uses less digits than its factorization.

50681870176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 49.

The spelling of 50681870176 in words is "fifty billion, six hundred eighty-one million, eight hundred seventy thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 206 224 389 412 721 778 824 1442 1556 1648 2723 2884 3112 3296 5446 5647 5768 6224 10892 11294 11536 12448 21784 22588 23072 39529 40067 43568 45176 79058 80134 87136 90352 158116 160268 180704 280469 316232 320536 560938 581641 632464 641072 1121876 1163282 1264928 1282144 2196683 2243752 2326564 4071487 4393366 4487504 4653128 8142974 8786732 8975008 9306256 15376781 16285948 17573464 18612512 30753562 32571896 35146928 61507124 65143792 70293856 123014248 130287584 226258349 246028496 452516698 492056992 905033396 1583808443 1810066792 3167616886 3620133584 6335233772 7240267168 12670467544 25340935088 50681870176