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47190000338208 = 253772132107761
BaseRepresentation
bin10101011101011010001110…
…01101010000010100100000
320012002022122021001020000000
422232231013031100110200
522141130110041310313
6244210441544300000
712640236125405100
oct1256550715202440
9205068567036000
1047190000338208
1114044191a4a712
1253618a3771600
132043cc8612a00
14b9201871b200
1556c7c0a4c673
hex2aeb47350520

47190000338208 has 1728 divisors, whose sum is σ = 177385887584640. Its totient is φ = 12313197711360.

The previous prime is 47190000338153. The next prime is 47190000338231. The reversal of 47190000338208 is 80283300009174.

It is a super-2 number, since 2×471900003382082 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 62010512548 + ... + 62010513308.

It is an arithmetic number, because the mean of its divisors is an integer number (102653870130).

Almost surely, 247190000338208 is an apocalyptic number.

47190000338208 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 47190000338208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88692943792320).

47190000338208 is an abundant number, since it is smaller than the sum of its proper divisors (130195887246432).

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

47190000338208 is a wasteful number, since it uses less digits than its factorization.

47190000338208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 47190000338208 in words is "forty-seven trillion, one hundred ninety billion, three hundred thirty-eight thousand, two hundred eight".