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47641584102 = 2371134323431
BaseRepresentation
bin101100010111101010…
…001110000111100110
311112222020001020012220
4230113222032013212
51240032221142402
633515232253210
73304413532440
oct542752160746
9145866036186
1047641584102
1119228483302
1292970a1206
134653283968
14243d417490
15138c7d4dbc
hexb17a8e1e6

47641584102 has 16 divisors (see below), whose sum is σ = 108895049472. Its totient is φ = 13611881160.

The previous prime is 47641584101. The next prime is 47641584121. The reversal of 47641584102 is 20148514674.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 1134323431 = 47641584102 / (4 + 7 + 6 + 4 + 1 + 5 + 8 + 4 + 1 + 0 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47641584101) 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 7 ways as a sum of consecutive naturals, for example, 567161674 + ... + 567161757.

It is an arithmetic number, because the mean of its divisors is an integer number (6805940592).

Almost surely, 247641584102 is an apocalyptic number.

47641584102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

47641584102 is an abundant number, since it is smaller than the sum of its proper divisors (61253465370).

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

47641584102 is a wasteful number, since it uses less digits than its factorization.

47641584102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134323443.

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 47641584102 in words is "forty-seven billion, six hundred forty-one million, five hundred eighty-four thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 1134323431 2268646862 3402970293 6805940586 7940264017 15880528034 23820792051 47641584102