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47006711808 = 2153768311
BaseRepresentation
bin101011110001110100…
…011000000000000000
311111022222102101011020
4223301310120000000
51232232204234213
633332232545440
73252604313010
oct536164300000
9144288371136
1047006711808
1118a32077361
12913a552280
134581898494
1423bcd93c40
151351bc9923
hexaf1d18000

47006711808 has 128 divisors (see below), whose sum is σ = 143258461440. Its totient is φ = 13430292480.

The previous prime is 47006711761. The next prime is 47006711861. The reversal of 47006711808 is 80811760074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 47006711808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653973 + ... + 722283.

It is an arithmetic number, because the mean of its divisors is an integer number (1119206730).

Almost surely, 247006711808 is an apocalyptic number.

47006711808 is a gapful number since it is divisible by the number (48) 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 47006711808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71629230720).

47006711808 is an abundant number, since it is smaller than the sum of its proper divisors (96251749632).

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

47006711808 is an frugal number, since it uses more digits than its factorization.

47006711808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68351 (or 68323 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 47006711808 in words is "forty-seven billion, six million, seven hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 16384 21504 24576 28672 32768 43008 49152 57344 68311 86016 98304 114688 136622 172032 204933 229376 273244 344064 409866 478177 546488 688128 819732 956354 1092976 1434531 1639464 1912708 2185952 2869062 3278928 3825416 4371904 5738124 6557856 7650832 8743808 11476248 13115712 15301664 17487616 22952496 26231424 30603328 34975232 45904992 52462848 61206656 69950464 91809984 104925696 122413312 139900928 183619968 209851392 244826624 279801856 367239936 419702784 489653248 559603712 734479872 839405568 979306496 1119207424 1468959744 1678811136 1958612992 2238414848 2937919488 3357622272 3917225984 5875838976 6715244544 7834451968 11751677952 15668903936 23503355904 47006711808