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4115665152 = 283229311987
BaseRepresentation
bin1111010101010000…
…0001000100000000
3101121211100110012200
43311110001010000
531412102241102
61520220553200
7203663401524
oct36524010400
911554313180
104115665152
111822205165
1296a3b2800
1350788b531
142b0861d84
151914c151c
hexf5501100

4115665152 has 216 divisors, whose sum is σ = 12678032640. Its totient is φ = 1281208320.

The previous prime is 4115665129. The next prime is 4115665153. The reversal of 4115665152 is 2515665114.

4115665152 is a `hidden beast` number, since 41 + 1 + 566 + 5 + 1 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4115665153) 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, 2070303 + ... + 2072289.

Almost surely, 24115665152 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 4115665152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339016320).

4115665152 is an abundant number, since it is smaller than the sum of its proper divisors (8562367488).

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

4115665152 is a wasteful number, since it uses less digits than its factorization.

4115665152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2052 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 4115665152 is about 64153.4500397290. The cubic root of 4115665152 is about 1602.5564797482.

The spelling of 4115665152 in words is "four billion, one hundred fifteen million, six hundred sixty-five thousand, one hundred fifty-two".