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47816240472 = 2332711136071093
BaseRepresentation
bin101100100010000100…
…011110110101011000
311120102101200200201100
4230202010132311120
51240411424143342
633544431551400
73311634223620
oct544204366530
9146371620640
1047816240472
1119308026210
12932568b560
134680506520
1424586bd880
15139ccd4e4c
hexb2211ed58

47816240472 has 384 divisors, whose sum is σ = 174323036160. Its totient is φ = 11435074560.

The previous prime is 47816240467. The next prime is 47816240473. The reversal of 47816240472 is 27404261874.

47816240472 is a `hidden beast` number, since 4 + 7 + 81 + 62 + 40 + 472 = 666.

It is a super-2 number, since 2×478162404722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47816240473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43747158 + ... + 43748250.

It is an arithmetic number, because the mean of its divisors is an integer number (453966240).

Almost surely, 247816240472 is an apocalyptic number.

47816240472 is a gapful number since it is divisible by the number (42) 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 47816240472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87161518080).

47816240472 is an abundant number, since it is smaller than the sum of its proper divisors (126506795688).

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

47816240472 is a wasteful number, since it uses less digits than its factorization.

47816240472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 47816240472 in words is "forty-seven billion, eight hundred sixteen million, two hundred forty thousand, four hundred seventy-two".