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2145388608 = 263211571593
BaseRepresentation
bin111111111100000…
…0000100001000000
312112111221000220100
41333320000201000
513343204413413
6552515042400
7104110334166
oct17770004100
95474830810
102145388608
11a0101a240
124ba5a0400
1328262031c
14164d03236
15c8530a73
hex7fe00840

2145388608 has 168 divisors, whose sum is σ = 6731483616. Its totient is φ = 647884800.

The previous prime is 2145388607. The next prime is 2145388613. The reversal of 2145388608 is 8068835412.

2145388608 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 38 + 8 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (2145388601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3617560 + ... + 3618152.

Almost surely, 22145388608 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 2145388608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365741808).

2145388608 is an abundant number, since it is smaller than the sum of its proper divisors (4586095008).

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

2145388608 is a wasteful number, since it uses less digits than its factorization.

2145388608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2145388608 is about 46318.3398666230. The cubic root of 2145388608 is about 1289.7394678472.

The spelling of 2145388608 in words is "two billion, one hundred forty-five million, three hundred eighty-eight thousand, six hundred eight".