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47916157128 = 23373119746703
BaseRepresentation
bin101100101000000001…
…101000100011001000
311120200100200222121020
4230220001220203020
51241113014012003
634002401312440
73314256421050
oct545001504310
9146610628536
1047916157128
1119359470064
129353035720
13469811b0c8
142467a8c560
1513a696ed53
hexb280688c8

47916157128 has 128 divisors (see below), whose sum is σ = 142039941120. Its totient is φ = 13181172480.

The previous prime is 47916157099. The next prime is 47916157147. The reversal of 47916157128 is 82175161974.

It is a super-2 number, since 2×479161571282 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002625 + ... + 1049327.

It is an arithmetic number, because the mean of its divisors is an integer number (1109687040).

Almost surely, 247916157128 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 47916157128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71019970560).

47916157128 is an abundant number, since it is smaller than the sum of its proper divisors (94123783992).

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

47916157128 is a wasteful number, since it uses less digits than its factorization.

47916157128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46947 (or 46943 counting only the distinct ones).

The product of its digits is 846720, while the sum is 51.

The spelling of 47916157128 in words is "forty-seven billion, nine hundred sixteen million, one hundred fifty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 197 217 248 372 394 434 591 651 744 788 868 1182 1302 1379 1576 1736 2364 2604 2758 4137 4728 5208 5516 6107 8274 11032 12214 16548 18321 24428 33096 36642 42749 46703 48856 73284 85498 93406 128247 140109 146568 170996 186812 256494 280218 326921 341992 373624 512988 560436 653842 980763 1025976 1120872 1307684 1447793 1961526 2615368 2895586 3923052 4343379 5791172 7846104 8686758 9200491 10134551 11582344 17373516 18400982 20269102 27601473 30403653 34747032 36801964 40538204 55202946 60807306 64403437 73603928 81076408 110405892 121614612 128806874 193210311 220811784 243229224 257613748 285215221 386420622 515227496 570430442 772841244 855645663 1140860884 1545682488 1711291326 1996506547 2281721768 3422582652 3993013094 5989519641 6845165304 7986026188 11979039282 15972052376 23958078564 47916157128