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47680263936 = 2832177691583
BaseRepresentation
bin101100011001111101…
…110001011100000000
311120001220211100222100
4230121331301130000
51240122121421221
633523133310400
73305363361564
oct543175613400
9146056740870
1047680263936
11192482a2008
1292a8035400
13465b2a7636
1424446056a4
151390dc5926
hexb19f71700

47680263936 has 216 divisors, whose sum is σ = 145842016320. Its totient is φ = 14929625088.

The previous prime is 47680263907. The next prime is 47680263937. The reversal of 47680263936 is 63936208674.

47680263936 is a `hidden beast` number, since 476 + 80 + 2 + 6 + 3 + 93 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47680263937) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30119401 + ... + 30120983.

It is an arithmetic number, because the mean of its divisors is an integer number (675194520).

Almost surely, 247680263936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47680263936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72921008160).

47680263936 is an abundant number, since it is smaller than the sum of its proper divisors (98161752384).

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

47680263936 is a wasteful number, since it uses less digits than its factorization.

47680263936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 47680263936 in words is "forty-seven billion, six hundred eighty million, two hundred sixty-three thousand, nine hundred thirty-six".