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47731114260 = 223251072579643
BaseRepresentation
bin101100011100111111…
…110000000100010100
311120012110111211111200
4230130333300010110
51240223131124020
633532151232500
73306551530344
oct543477600424
9146173454450
1047731114260
1119273a73675
129301078730
13466899ca9b
14244b280d24
1513955bc590
hexb1cff0114

47731114260 has 144 divisors (see below), whose sum is σ = 146721347136. Its totient is φ = 12558974976.

The previous prime is 47731114243. The next prime is 47731114261. The reversal of 47731114260 is 6241113774.

47731114260 is a `hidden beast` number, since 4 + 77 + 311 + 14 + 260 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47731114261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4944999 + ... + 4954641.

It is an arithmetic number, because the mean of its divisors is an integer number (1018898244).

Almost surely, 247731114260 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 47731114260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73360673568).

47731114260 is an abundant number, since it is smaller than the sum of its proper divisors (98990232876).

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

47731114260 is a wasteful number, since it uses less digits than its factorization.

47731114260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10022 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 47731114260 in words is "forty-seven billion, seven hundred thirty-one million, one hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 257 321 428 514 535 642 771 963 1028 1070 1284 1285 1542 1605 1926 2140 2313 2570 3084 3210 3852 3855 4626 4815 5140 6420 7710 9252 9630 9643 11565 15420 19260 19286 23130 27499 28929 38572 46260 48215 54998 57858 82497 86787 96430 109996 115716 137495 144645 164994 173574 192860 247491 274990 289290 329988 347148 412485 433935 494982 549980 578580 824970 867870 989964 1031801 1237455 1649940 1735740 2063602 2474910 2478251 3095403 4127204 4949820 4956502 5159005 6190806 7434753 9286209 9913004 10318010 12381612 12391255 14869506 15477015 18572418 20636020 22304259 24782510 29739012 30954030 37144836 37173765 44608518 46431045 49565020 61908060 74347530 89217036 92862090 111521295 148695060 185724180 223042590 265172857 446085180 530345714 795518571 1060691428 1325864285 1591037142 2386555713 2651728570 3182074284 3977592855 4773111426 5303457140 7955185710 9546222852 11932778565 15910371420 23865557130 47731114260