Search a number
-
+
3481169448960 = 21232572698079
BaseRepresentation
bin110010101010000101110…
…111100101000000000000
3110022210111200110212211100
4302222011313211000000
5424013413334331320
611223121022414400
7506335424042640
oct62520567450000
913283450425740
103481169448960
1111223a04444a5
12482810731400
131c337165b788
14c06bd290520
156084710e790
hex32a85de5000

3481169448960 has 312 divisors, whose sum is σ = 13790383326720. Its totient is φ = 795695579136.

The previous prime is 3481169448943. The next prime is 3481169448989. The reversal of 3481169448960 is 698449611843.

3481169448960 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 1 + 6 + 94 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58800 + ... + 2639279.

It is an arithmetic number, because the mean of its divisors is an integer number (44199946560).

Almost surely, 23481169448960 is an apocalyptic number.

3481169448960 is a gapful number since it is divisible by the number (30) 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 3481169448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6895191663360).

3481169448960 is an abundant number, since it is smaller than the sum of its proper divisors (10309213877760).

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

3481169448960 is a wasteful number, since it uses less digits than its factorization.

3481169448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698121 (or 2698096 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 3481169448960 in words is "three trillion, four hundred eighty-one billion, one hundred sixty-nine million, four hundred forty-eight thousand, nine hundred sixty".