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47116740000 = 253541171389
BaseRepresentation
bin101011111000011000…
…000110010110100000
311111121122110101110110
4223320120012112200
51232443341140000
633351203131320
73255411452631
oct537030062640
9144548411413
1047116740000
1118a89198150
12916b373b40
13459b610615
1423cd835888
15135b6b0850
hexaf86065a0

47116740000 has 240 divisors, whose sum is σ = 168604904160. Its totient is φ = 11422080000.

The previous prime is 47116739981. The next prime is 47116740007. The reversal of 47116740000 is 4761174.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 47116740000.

It is not an unprimeable number, because it can be changed into a prime (47116740007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 624306 + ... + 695694.

It is an arithmetic number, because the mean of its divisors is an integer number (702520434).

Almost surely, 247116740000 is an apocalyptic number.

47116740000 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 47116740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84302452080).

47116740000 is an abundant number, since it is smaller than the sum of its proper divisors (121488164160).

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

47116740000 is a wasteful number, since it uses less digits than its factorization.

47116740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71433 (or 71410 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The spelling of 47116740000 in words is "forty-seven billion, one hundred sixteen million, seven hundred forty thousand".