Search a number
-
+
46454714352 = 2439178677
BaseRepresentation
bin101011010000111010…
…101010111111110000
311102220111202000000000
4223100322222333300
51230114401324402
633201353430000
73233122361664
oct532072527760
9142814660000
1046454714352
1118779525512
12900570b300
1344c4408a77
1423699448a4
15131d4dec1c
hexad0eaaff0

46454714352 has 200 divisors, whose sum is σ = 142964773776. Its totient is φ = 14572348416.

The previous prime is 46454714351. The next prime is 46454714381. The reversal of 46454714352 is 25341745464.

46454714352 is a `hidden beast` number, since 4 + 6 + 454 + 7 + 143 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46454714298 and 46454714307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46454714351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5349438 + ... + 5358114.

Almost surely, 246454714352 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 46454714352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71482386888).

46454714352 is an abundant number, since it is smaller than the sum of its proper divisors (96510059424).

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

46454714352 is an frugal number, since it uses more digits than its factorization.

46454714352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8729 (or 8699 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 46454714352 in words is "forty-six billion, four hundred fifty-four million, seven hundred fourteen thousand, three hundred fifty-two".