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51216160720 = 2453789194413
BaseRepresentation
bin101111101100101110…
…001001011111010000
311220012100020112111111
4233230232021133100
51314342314120340
635310044023104
73462120116554
oct575456113720
9156170215444
1051216160720
111a7a220765a
129b14231a94
134aa2a01c5a
14269c069864
1514eb523aea
hexbecb897d0

51216160720 has 80 divisors (see below), whose sum is σ = 123670633680. Its totient is φ = 19708710912.

The previous prime is 51216160673. The next prime is 51216160741. The reversal of 51216160720 is 2706161215.

It can be written as a sum of positive squares in 8 ways, for example, as 1258546576 + 49957614144 = 35476^2 + 223512^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166234 + ... + 360646.

It is an arithmetic number, because the mean of its divisors is an integer number (1545882921).

Almost surely, 251216160720 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 51216160720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61835316840).

51216160720 is an abundant number, since it is smaller than the sum of its proper divisors (72454472960).

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

51216160720 is a wasteful number, since it uses less digits than its factorization.

51216160720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194552 (or 194546 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 51216160720 in words is "fifty-one billion, two hundred sixteen million, one hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 89 148 178 185 296 356 370 445 592 712 740 890 1424 1480 1780 2960 3293 3560 6586 7120 13172 16465 26344 32930 52688 65860 131720 194413 263440 388826 777652 972065 1555304 1944130 3110608 3888260 7193281 7776520 14386562 15553040 17302757 28773124 34605514 35966405 57546248 69211028 71932810 86513785 115092496 138422056 143865620 173027570 276844112 287731240 346055140 575462480 640202009 692110280 1280404018 1384220560 2560808036 3201010045 5121616072 6402020090 10243232144 12804040180 25608080360 51216160720