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47238222608640 = 283457219243599
BaseRepresentation
bin10101011110110100000010…
…11110100111100100000000
320012020221002221202101010000
422233122001132213210000
522142422334441434030
6244244535003040000
712643564123056600
oct1257320136474400
9205227087671100
1047238222608640
111406268818a178
12536b101210000
132048711c8c33b
14b944b0cd0c00
1556db942d7860
hex2af6817a7900

47238222608640 has 3240 divisors, whose sum is σ = 212696958196800. Its totient is φ = 9974464561152.

The previous prime is 47238222608569. The next prime is 47238222608653. The reversal of 47238222608640 is 4680622283274.

47238222608640 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 8 + 2 + 22 + 608 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 78861807061 + ... + 78861807659.

It is an arithmetic number, because the mean of its divisors is an integer number (65647209320).

Almost surely, 247238222608640 is an apocalyptic number.

47238222608640 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 47238222608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106348479098400).

47238222608640 is an abundant number, since it is smaller than the sum of its proper divisors (165458735588160).

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

47238222608640 is a wasteful number, since it uses less digits than its factorization.

47238222608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 47238222608640 in words is "forty-seven trillion, two hundred thirty-eight billion, two hundred twenty-two million, six hundred eight thousand, six hundred forty".