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47528800506 = 232114314233923
BaseRepresentation
bin101100010000111011…
…111111000011111010
311112200100211020012200
4230100323333003322
51234314333104011
633500123051030
73301544065335
oct542073770372
9145610736180
1047528800506
111917a850320
129265370a76
134635ab55c5
14242c45961c
151382957856
hexb10eff0fa

47528800506 has 96 divisors (see below), whose sum is σ = 115063483392. Its totient is φ = 14054251680.

The previous prime is 47528800477. The next prime is 47528800511. The reversal of 47528800506 is 60500882574.

47528800506 is a `hidden beast` number, since 47 + 5 + 28 + 80 + 0 + 506 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12113461 + ... + 12117383.

It is an arithmetic number, because the mean of its divisors is an integer number (1198577952).

Almost surely, 247528800506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47528800506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57531741696).

47528800506 is an abundant number, since it is smaller than the sum of its proper divisors (67534682886).

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

47528800506 is a wasteful number, since it uses less digits than its factorization.

47528800506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5408 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 47528800506 in words is "forty-seven billion, five hundred twenty-eight million, eight hundred thousand, five hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 1423 2838 2846 3923 4257 4269 7846 8514 8538 11769 12807 15653 23538 25614 31306 35307 43153 46959 61189 70614 86306 93918 122378 129459 140877 168689 183567 258918 281754 337378 367134 388377 506067 550701 673079 776754 1012134 1101402 1346158 1518201 1855579 2019237 3036402 3711158 4038474 5566737 5582429 6057711 11133474 11164858 12115422 16700211 16747287 33400422 33494574 50241861 61406719 100483722 122813438 184220157 240044447 368440314 480088894 552660471 720133341 1105320942 1440266682 2160400023 2640488917 4320800046 5280977834 7921466751 15842933502 23764400253 47528800506