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47042422951680 = 28325131312397853
BaseRepresentation
bin10101011001000111010101…
…11010001100111100000000
320011120012201100011020001100
422230203222322030330000
522131220340233423210
6244014554000534400
712623463044332632
oct1254435272147400
9204505640136040
1047042422951680
1113a976413a9962
125339178321400
132033109c39060
14b88c189d4a52
15568a349ae5c0
hex2ac8eae8cf00

47042422951680 has 432 divisors, whose sum is σ = 176620132424736. Its totient is φ = 11491274096640.

The previous prime is 47042422951679. The next prime is 47042422951697. The reversal of 47042422951680 is 8615922424074.

47042422951680 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 2 + 42 + 2 + 9 + 516 + 80 = 666.

It is a super-2 number, since 2×470424229516802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18419634 + ... + 20817486.

Almost surely, 247042422951680 is an apocalyptic number.

47042422951680 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 47042422951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88310066212368).

47042422951680 is an abundant number, since it is smaller than the sum of its proper divisors (129577709473056).

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

47042422951680 is a wasteful number, since it uses less digits than its factorization.

47042422951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398024 (or 2398007 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 47042422951680 in words is "forty-seven trillion, forty-two billion, four hundred twenty-two million, nine hundred fifty-one thousand, six hundred eighty".