Search a number
-
+
46130472960 = 21135111310501
BaseRepresentation
bin101010111101100101…
…110010100000000000
311102001220121211102120
4222331211302200000
51223433400113320
633105252044240
73222104356545
oct527545624000
9142056554376
1046130472960
11186224a4120
128b35003680
1344721a1160
142338860bcc
1512eece3440
hexabd972800

46130472960 has 384 divisors, whose sum is σ = 173398942080. Its totient is φ = 10321920000.

The previous prime is 46130472953. The next prime is 46130472979. The reversal of 46130472960 is 6927403164.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4387710 + ... + 4398210.

It is an arithmetic number, because the mean of its divisors is an integer number (451559745).

Almost surely, 246130472960 is an apocalyptic number.

46130472960 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 46130472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86699471040).

46130472960 is an abundant number, since it is smaller than the sum of its proper divisors (127268469120).

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

46130472960 is a wasteful number, since it uses less digits than its factorization.

46130472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10555 (or 10535 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 46130472960 in words is "forty-six billion, one hundred thirty million, four hundred seventy-two thousand, nine hundred sixty".