Search a number
-
+
48376621440 = 273457294597
BaseRepresentation
bin101101000011011110…
…001010100110000000
311121212110010222220000
4231003132022212000
51243033403341230
634120210520000
73331550332440
oct550336124600
9147773128800
1048376621440
1119575383784
129461296000
13473c63cab4
1424accb2120
1513d20c8b60
hexb4378a980

48376621440 has 640 divisors, whose sum is σ = 204294657600. Its totient is φ = 10673897472.

The previous prime is 48376621427. The next prime is 48376621451. The reversal of 48376621440 is 4412667384.

48376621440 is a `hidden beast` number, since 4 + 83 + 76 + 62 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10521222 + ... + 10525818.

Almost surely, 248376621440 is an apocalyptic number.

48376621440 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 48376621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102147328800).

48376621440 is an abundant number, since it is smaller than the sum of its proper divisors (155918036160).

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

48376621440 is a wasteful number, since it uses less digits than its factorization.

48376621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 48376621440 in words is "forty-eight billion, three hundred seventy-six million, six hundred twenty-one thousand, four hundred forty".