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47080561853312 = 2713232399512779
BaseRepresentation
bin10101011010001110011000…
…01010100100001110000000
320011200212011022020011112122
422231013030022210032000
522132331442313301222
6244044302253543412
712626313132545651
oct1255071412441600
9204625138204478
1047080561853312
1114001832862179
125344640aa4b68
1320368a7558680
14b8a9d5d43528
15569a17dbea42
hex2ad1cc2a4380

47080561853312 has 128 divisors (see below), whose sum is σ = 105443976960000. Its totient is φ = 20776025217024.

The previous prime is 47080561853291. The next prime is 47080561853323. The reversal of 47080561853312 is 21335816508074.

It is a tau number, because it is divible by the number of its divisors (128).

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, 91558139 + ... + 92070917.

It is an arithmetic number, because the mean of its divisors is an integer number (823781070000).

Almost surely, 247080561853312 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 47080561853312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52721988480000).

47080561853312 is an abundant number, since it is smaller than the sum of its proper divisors (58363415106688).

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

47080561853312 is a wasteful number, since it uses less digits than its factorization.

47080561853312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515228 (or 515216 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 47080561853312 in words is "forty-seven trillion, eighty billion, five hundred sixty-one million, eight hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 299 368 416 598 736 832 1196 1472 1664 2392 2399 2944 4784 4798 9568 9596 19136 19192 31187 38272 38384 55177 62374 76768 110354 124748 153536 220708 249496 307072 441416 498992 512779 717301 882832 997984 1025558 1434602 1765664 1995968 2051116 2869204 3531328 3991936 4102232 5738408 6666127 7062656 8204464 11476816 11793917 13332254 16408928 22953632 23587834 26664508 32817856 45907264 47175668 53329016 65635712 91814528 94351336 106658032 153320921 188702672 213316064 306641842 377405344 426632128 613283684 754810688 853264256 1226567368 1230156821 1509621376 2453134736 2460313642 4906269472 4920627284 9812538944 9841254568 15992038673 19625077888 19682509136 28293606883 31984077346 39365018272 56587213766 63968154692 78730036544 113174427532 127936309384 157460073088 226348855064 255872618768 367816889479 452697710128 511745237536 735633778958 905395420256 1023490475072 1471267557916 1810790840512 2046980950144 2942535115832 3621581681024 5885070231664 11770140463328 23540280926656 47080561853312