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47005746320 = 24513332913577
BaseRepresentation
bin101011110001110000…
…101100010010010000
311111022220121022202102
4223301300230102100
51232231432340240
633332200135532
73252563152121
oct536160542220
9144286538672
1047005746320
1118a31577a35
12913a1675a8
13458161aba0
1423bcbc2048
151351a88815
hexaf1c2c490

47005746320 has 80 divisors (see below), whose sum is σ = 117739182960. Its totient is φ = 17349476352.

The previous prime is 47005746289. The next prime is 47005746367. The reversal of 47005746320 is 2364750074.

It can be written as a sum of positive squares in 8 ways, for example, as 26050816 + 46979695504 = 5104^2 + 216748^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 3455372 + ... + 3468948.

It is an arithmetic number, because the mean of its divisors is an integer number (1471739787).

Almost surely, 247005746320 is an apocalyptic number.

47005746320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47005746320 is an abundant number, since it is smaller than the sum of its proper divisors (70733436640).

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

47005746320 is a wasteful number, since it uses less digits than its factorization.

47005746320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16932 (or 16926 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The spelling of 47005746320 in words is "forty-seven billion, five million, seven hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3329 6658 13316 13577 16645 26632 27154 33290 43277 53264 54308 66580 67885 86554 108616 133160 135770 173108 176501 216385 217232 266320 271540 346216 353002 432770 543080 692432 706004 865540 882505 1086160 1412008 1731080 1765010 2824016 3462160 3530020 7060040 14120080 45197833 90395666 180791332 225989165 361582664 451978330 587571829 723165328 903956660 1175143658 1807913320 2350287316 2937859145 3615826640 4700574632 5875718290 9401149264 11751436580 23502873160 47005746320