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47332188768 = 2534311466131
BaseRepresentation
bin101100000101001101…
…111110001001100000
311112011122212022121110
4230011031332021200
51233414020020033
633424421023320
73263635652304
oct540515761140
9145148768543
1047332188768
1119089871a87
12920b554b40
1346041465b7
1424102b9d04
15137056c363
hexb0537e260

47332188768 has 48 divisors (see below), whose sum is σ = 127136471616. Its totient is φ = 15410478720.

The previous prime is 47332188767. The next prime is 47332188821. The reversal of 47332188768 is 86788123374.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47332188767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5728938 + ... + 5737193.

It is an arithmetic number, because the mean of its divisors is an integer number (2648676492).

Almost surely, 247332188768 is an apocalyptic number.

47332188768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47332188768 is an abundant number, since it is smaller than the sum of its proper divisors (79804282848).

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

47332188768 is a wasteful number, since it uses less digits than its factorization.

47332188768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11466187 (or 11466179 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 57.

The spelling of 47332188768 in words is "forty-seven billion, three hundred thirty-two million, one hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 11466131 22932262 34398393 45864524 68796786 91729048 137593572 183458096 275187144 366916192 493043633 550374288 986087266 1100748576 1479130899 1972174532 2958261798 3944349064 5916523596 7888698128 11833047192 15777396256 23666094384 47332188768