Search a number
-
+
47780969614884 = 223121124312
BaseRepresentation
bin10101101110100110111111…
…01110001000111000100100
320021011211000221000000000000
422313103133232020320210
522230320411210134014
6245342135135021300
713031026653361512
oct1267233756107044
9207154027000000
1047780969614884
1114251882778100
12543833206a830
13208795932393c
14bb287b46d4b2
1557cd5cb70509
hex2b74dfb88e24

47780969614884 has 351 divisors, whose sum is σ = 138184418005963. Its totient is φ = 14445487544400.

The previous prime is 47780969614843. The next prime is 47780969614907. The reversal of 47780969614884 is 48841696908774.

The square root of 47780969614884 is 6912378.

It is a perfect power (a square), and thus also a powerful number.

47780969614884 is a `hidden beast` number, since 4 + 7 + 78 + 0 + 9 + 6 + 9 + 61 + 488 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 110860718149 + ... + 110860718579.

Almost surely, 247780969614884 is an apocalyptic number.

47780969614884 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

47780969614884 is the 6912378-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47780969614884

47780969614884 is an abundant number, since it is smaller than the sum of its proper divisors (90403448391079).

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

47780969614884 is an frugal number, since it uses more digits than its factorization.

47780969614884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 4682022912, while the sum is 81.

47780969614884 divided by its sum of digits (81) gives a square (589888513764 = 7680422).

The spelling of 47780969614884 in words is "forty-seven trillion, seven hundred eighty billion, nine hundred sixty-nine million, six hundred fourteen thousand, eight hundred eighty-four".