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47352560640 = 2103571140037
BaseRepresentation
bin101100000110011011…
…101011110000000000
311112020002012022120020
4230012123223300000
51233434223420030
633430425413440
73264304060440
oct540633536000
9145202168506
1047352560640
111909a316740
12921633a280
13460842a068
142412ca0120
151372243510
hexb066ebc00

47352560640 has 352 divisors, whose sum is σ = 188830738944. Its totient is φ = 9839247360.

The previous prime is 47352560573. The next prime is 47352560659. The reversal of 47352560640 is 4606525374.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a junction number, because it is equal to n+sod(n) for n = 47352560592 and 47352560601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1162702 + ... + 1202738.

Almost surely, 247352560640 is an apocalyptic number.

47352560640 is a gapful number since it is divisible by the number (40) 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 47352560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94415369472).

47352560640 is an abundant number, since it is smaller than the sum of its proper divisors (141478178304).

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

47352560640 is a wasteful number, since it uses less digits than its factorization.

47352560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40083 (or 40065 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 47352560640 in words is "forty-seven billion, three hundred fifty-two million, five hundred sixty thousand, six hundred forty".