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4325445632000 = 215533728541
BaseRepresentation
bin111110111100011000101…
…001101000000000000000
3120022111201202001202200002
4332330120221220000000
51031332003040211000
613111025435215132
7624334401144503
oct76743051500000
916274652052602
104325445632000
1114184583278a9
1259a372ba74a8
13254b7058b30c
1410d4d1aab13a
15777ac5158d5
hex3ef18a68000

4325445632000 has 256 divisors, whose sum is σ = 11088323822160. Its totient is φ = 1683357696000.

The previous prime is 4325445631931. The next prime is 4325445632003. The reversal of 4325445632000 is 2365445234.

It can be written as a sum of positive squares in 8 ways, for example, as 314173702144 + 4011271929856 = 560512^2 + 2002816^2 .

It is a tau number, because it is divible by the number of its divisors (256).

It is not an unprimeable number, because it can be changed into a prime (4325445632003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151537730 + ... + 151566270.

Almost surely, 24325445632000 is an apocalyptic number.

4325445632000 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 4325445632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544161911080).

4325445632000 is an abundant number, since it is smaller than the sum of its proper divisors (6762878190160).

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

4325445632000 is an frugal number, since it uses more digits than its factorization.

4325445632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28623 (or 28585 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 38.

The spelling of 4325445632000 in words is "four trillion, three hundred twenty-five billion, four hundred forty-five million, six hundred thirty-two thousand".