Search a number
-
+
47155381416 = 2333114133137
BaseRepresentation
bin101011111010101011…
…100000010010101000
311111201100011120112000
4223322223200102220
51233033234201131
633355103251000
73256361062053
oct537253402250
9144640146460
1047155381416
1118aa8a90000
1291802a9a60
1345a661c970
1423d4a13a9a
15135ec94ce6
hexafaae04a8

47155381416 has 640 divisors, whose sum is σ = 164502912000. Its totient is φ = 12419827200.

The previous prime is 47155381409. The next prime is 47155381423. The reversal of 47155381416 is 61418355174.

47155381416 is a `hidden beast` number, since 4 + 7 + 1 + 553 + 81 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (47155381409) and next prime (47155381423).

Its product of digits (403200) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1274469750 + ... + 1274469786.

It is an arithmetic number, because the mean of its divisors is an integer number (257035800).

Almost surely, 247155381416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47155381416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82251456000).

47155381416 is an abundant number, since it is smaller than the sum of its proper divisors (117347530584).

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

47155381416 is a wasteful number, since it uses less digits than its factorization.

47155381416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 97 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 47155381416 in words is "forty-seven billion, one hundred fifty-five million, three hundred eighty-one thousand, four hundred sixteen".