Search a number
-
+
160872317593944 = 233113778738895381
BaseRepresentation
bin100100100101000000000001…
…010110000010100101011000
3210002121020120102011012022220
4210211000001112002211120
5132041213001301001234
61330051420014344040
745612432666402225
oct4445000126024530
9702536512135286
10160872317593944
1147293626392740
12160621717bb020
136b9c26b2b07b8
142ba239421494c
15138e9d146ea49
hex925001582958

160872317593944 has 256 divisors, whose sum is σ = 451373029286400. Its totient is φ = 47350390579200.

The previous prime is 160872317593937. The next prime is 160872317593973. The reversal of 160872317593944 is 449395713278061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29896358134 + ... + 29896363514.

It is an arithmetic number, because the mean of its divisors is an integer number (1763175895650).

It is a 1-persistent number, because it is pandigital, but 2⋅160872317593944 = 321744635187888 is not.

Almost surely, 2160872317593944 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 160872317593944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225686514643200).

160872317593944 is an abundant number, since it is smaller than the sum of its proper divisors (290500711692456).

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

160872317593944 is a wasteful number, since it uses less digits than its factorization.

160872317593944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10114 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 69.

The spelling of 160872317593944 in words is "one hundred sixty trillion, eight hundred seventy-two billion, three hundred seventeen million, five hundred ninety-three thousand, nine hundred forty-four".