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48914552336 = 241317371372729
BaseRepresentation
bin101101100011100010…
…001101011000010000
311200020221100201100112
4231203202031120100
51300134111133321
634245424340452
73351101556206
oct554342153020
9150227321315
1048914552336
1119820a98171
129591474728
1347c6c159c0
1425204dd076
151414435a5b
hexb6388d610

48914552336 has 160 divisors (see below), whose sum is σ = 111837529440. Its totient is φ = 20515258368.

The previous prime is 48914552317. The next prime is 48914552339. The reversal of 48914552336 is 63325541984.

It can be written as a sum of positive squares in 16 ways, for example, as 797497600 + 48117054736 = 28240^2 + 219356^2 .

It is not an unprimeable number, because it can be changed into a prime (48914552339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17922620 + ... + 17925348.

It is an arithmetic number, because the mean of its divisors is an integer number (698984559).

Almost surely, 248914552336 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 48914552336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55918764720).

48914552336 is an abundant number, since it is smaller than the sum of its proper divisors (62922977104).

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

48914552336 is a wasteful number, since it uses less digits than its factorization.

48914552336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2935 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 50.

The spelling of 48914552336 in words is "forty-eight billion, nine hundred fourteen million, five hundred fifty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 34 37 52 68 74 104 136 137 148 208 221 272 274 296 442 481 548 592 629 884 962 1096 1258 1768 1781 1924 2192 2329 2516 2729 3536 3562 3848 4658 5032 5069 5458 7124 7696 8177 9316 10064 10138 10916 14248 16354 18632 20276 21832 28496 30277 32708 35477 37264 40552 43664 46393 60554 65416 65897 70954 81104 86173 92786 100973 121108 130832 131794 141908 172346 185572 201946 242216 263588 283816 344692 371144 373873 403892 484432 527176 567632 603109 689384 742288 747746 807784 1054352 1120249 1206218 1312649 1378768 1495492 1615568 1716541 2240498 2412436 2625298 2990984 3433082 4480996 4824872 4860349 5250596 5981968 6355841 6866164 8961992 9649744 9720698 10501192 12711682 13732328 13833301 17923984 19441396 21002384 22315033 25423364 27464656 27666602 38882792 44630066 50846728 55333204 77765584 82625933 89260132 101693456 110666408 165251866 178520264 179832913 221332816 235166117 330503732 357040528 359665826 470332234 661007464 719331652 940664468 1322014928 1438663304 1881328936 2877326608 3057159521 3762657872 6114319042 12228638084 24457276168 48914552336