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47106822048 = 25311132263957
BaseRepresentation
bin101011110111110010…
…010000111110100000
311111120221210111120220
4223313302100332200
51232433321301143
633350210403040
73255231244416
oct536762207640
9144527714526
1047106822048
1118a836336a0
129167b90480
13459954a200
1423cc3b32b6
15135a8a1d83
hexaf7c90fa0

47106822048 has 144 divisors (see below), whose sum is σ = 146072245536. Its totient is φ = 13176683520.

The previous prime is 47106822047. The next prime is 47106822053. The reversal of 47106822048 is 84022860174.

It is not an unprimeable number, because it can be changed into a prime (47106822043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46486 + ... + 310442.

It is an arithmetic number, because the mean of its divisors is an integer number (1014390594).

Almost surely, 247106822048 is an apocalyptic number.

47106822048 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 47106822048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73036122768).

47106822048 is an abundant number, since it is smaller than the sum of its proper divisors (98965423488).

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

47106822048 is a wasteful number, since it uses less digits than its factorization.

47106822048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264007 (or 263986 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 47106822048 in words is "forty-seven billion, one hundred six million, eight hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 169 176 208 264 286 312 338 352 416 429 507 528 572 624 676 858 1014 1056 1144 1248 1352 1716 1859 2028 2288 2704 3432 3718 4056 4576 5408 5577 6864 7436 8112 11154 13728 14872 16224 22308 29744 44616 59488 89232 178464 263957 527914 791871 1055828 1583742 2111656 2903527 3167484 3431441 4223312 5807054 6334968 6862882 8446624 8710581 10294323 11614108 12669936 13725764 17421162 20588646 23228216 25339872 27451528 34842324 37745851 41177292 44608733 46456432 54903056 69684648 75491702 82354584 89217466 92912864 109806112 113237553 133826199 139369296 150983404 164709168 178434932 226475106 267652398 278738592 301966808 329418336 356869864 452950212 490696063 535304796 603933616 713739728 905900424 981392126 1070609592 1207867232 1427479456 1472088189 1811800848 1962784252 2141219184 2944176378 3623601696 3925568504 4282438368 5888352756 7851137008 11776705512 15702274016 23553411024 47106822048