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47102617680 = 24353118673391
BaseRepresentation
bin101011110111100010…
…001110100001010000
311111120122212220021120
4223313202032201100
51232431232231210
633345540322240
73255150433656
oct536742164120
9144518786246
1047102617680
1118a81221908
1291666a3380
134598707611
1423cb9dadd6
15135a321270
hexaf788e850

47102617680 has 160 divisors (see below), whose sum is σ = 150853582848. Its totient is φ = 12145420800.

The previous prime is 47102617673. The next prime is 47102617697. The reversal of 47102617680 is 8671620174.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13888785 + ... + 13892175.

Almost surely, 247102617680 is an apocalyptic number.

47102617680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47102617680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75426791424).

47102617680 is an abundant number, since it is smaller than the sum of its proper divisors (103750965168).

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

47102617680 is a wasteful number, since it uses less digits than its factorization.

47102617680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 47102617680 in words is "forty-seven billion, one hundred two million, six hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 1867 2480 3391 3720 3734 5601 6782 7440 7468 9335 10173 11202 13564 14936 16955 18670 20346 22404 27128 28005 29872 33910 37340 40692 44808 50865 54256 56010 57877 67820 74680 81384 89616 101730 105121 112020 115754 135640 149360 162768 173631 203460 210242 224040 231508 271280 289385 315363 347262 406920 420484 448080 463016 525605 578770 630726 694524 813840 840968 868155 926032 1051210 1157540 1261452 1389048 1576815 1681936 1736310 2102420 2315080 2522904 2778096 3153630 3472620 4204840 4630160 5045808 6307260 6330997 6945240 8409680 12614520 12661994 13890480 18992991 25229040 25323988 31654985 37985982 50647976 63309970 75971964 94964955 101295952 126619940 151943928 189929910 196260907 253239880 303887856 379859820 392521814 506479760 588782721 759719640 785043628 981304535 1177565442 1519439280 1570087256 1962609070 2355130884 2943913605 3140174512 3925218140 4710261768 5887827210 7850436280 9420523536 11775654420 15700872560 23551308840 47102617680