Search a number
-
+
48722314752 = 293310732939
BaseRepresentation
bin101101011000000100…
…111000011000000000
311122202112122000222000
4231120010320120000
51244240403033002
634214400144000
73343245561606
oct553004703000
9148675560860
1048722314752
1119732527231
129539008000
134796148957
142502b7b876
15140261161c
hexb58138600

48722314752 has 160 divisors (see below), whose sum is σ = 145573718400. Its totient is φ = 16088500224.

The previous prime is 48722314747. The next prime is 48722314757. The reversal of 48722314752 is 25741322784.

48722314752 is a `hidden beast` number, since 487 + 2 + 23 + 147 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (48722314747) and next prime (48722314757).

It is a junction number, because it is equal to n+sod(n) for n = 48722314698 and 48722314707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48722314757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1462699 + ... + 1495637.

It is an arithmetic number, because the mean of its divisors is an integer number (909835740).

Almost surely, 248722314752 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 48722314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72786859200).

48722314752 is an abundant number, since it is smaller than the sum of its proper divisors (96851403648).

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

48722314752 is a wasteful number, since it uses less digits than its factorization.

48722314752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33073 (or 33051 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 48722314752 in words is "forty-eight billion, seven hundred twenty-two million, three hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 107 108 128 144 192 214 216 256 288 321 384 428 432 512 576 642 768 856 864 963 1152 1284 1536 1712 1728 1926 2304 2568 2889 3424 3456 3852 4608 5136 5778 6848 6912 7704 10272 11556 13696 13824 15408 20544 23112 27392 30816 32939 41088 46224 54784 61632 65878 82176 92448 98817 123264 131756 164352 184896 197634 246528 263512 296451 369792 395268 493056 527024 592902 739584 790536 889353 1054048 1185804 1479168 1581072 1778706 2108096 2371608 3162144 3524473 3557412 4216192 4743216 6324288 7048946 7114824 8432384 9486432 10573419 12648576 14097892 14229648 16864768 18972864 21146838 25297152 28195784 28459296 31720257 37945728 42293676 50594304 56391568 56918592 63440514 75891456 84587352 95160771 112783136 113837184 126881028 151782912 169174704 190321542 225566272 227674368 253762056 338349408 380643084 451132544 455348736 507524112 676698816 761286168 902265088 1015048224 1353397632 1522572336 1804530176 2030096448 2706795264 3045144672 4060192896 5413590528 6090289344 8120385792 12180578688 16240771584 24361157376 48722314752