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2069555040 = 2532573137179
BaseRepresentation
bin111101101011010…
…1110011101100000
312100020020021210200
41323112232131200
513214301230130
6541205425200
7102166633110
oct17326563540
95306207720
102069555040
11972234373
1249910b200
1326c9bb4a7
14158c03040
15c1a51760
hex7b5ae760

2069555040 has 576 divisors, whose sum is σ = 8604610560. Its totient is φ = 442920960.

The previous prime is 2069555029. The next prime is 2069555053. The reversal of 2069555040 is 405559602.

2069555040 is a `hidden beast` number, since 2 + 0 + 69 + 5 + 550 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2069554986 and 2069555004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11561671 + ... + 11561849.

It is an arithmetic number, because the mean of its divisors is an integer number (14938560).

Almost surely, 22069555040 is an apocalyptic number.

2069555040 is a gapful number since it is divisible by the number (20) 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 2069555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302305280).

2069555040 is an abundant number, since it is smaller than the sum of its proper divisors (6535055520).

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

2069555040 is a wasteful number, since it uses less digits than its factorization.

2069555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 2069555040 is about 45492.3624359079. The cubic root of 2069555040 is about 1274.3605744155.

The spelling of 2069555040 in words is "two billion, sixty-nine million, five hundred fifty-five thousand, forty".