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5852106414 = 2337114371461
BaseRepresentation
bin1010111001101000…
…00000111010101110
3120002211202210211000
411130310000322232
543441114401124
62404410541130
7265010040510
oct53464007256
916084683730
105852106414
1125333a8190
121173a377a6
1372355687b
143d7311bb0
15243b726c9
hex15cd00eae

5852106414 has 256 divisors, whose sum is σ = 16860856320. Its totient is φ = 1460592000.

The previous prime is 5852106413. The next prime is 5852106461. The reversal of 5852106414 is 4146012585.

It is a happy number.

5852106414 is a `hidden beast` number, since 5 + 8 + 5 + 2 + 1 + 0 + 641 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5852106413) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12694144 + ... + 12694604.

It is an arithmetic number, because the mean of its divisors is an integer number (65862720).

Almost surely, 25852106414 is an apocalyptic number.

5852106414 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5852106414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430428160).

5852106414 is an abundant number, since it is smaller than the sum of its proper divisors (11008749906).

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

5852106414 is a wasteful number, since it uses less digits than its factorization.

5852106414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5852106414 is about 76499.0615236553. The cubic root of 5852106414 is about 1802.0661884621.

Adding to 5852106414 its reverse (4146012585), we get a palindrome (9998118999).

The spelling of 5852106414 in words is "five billion, eight hundred fifty-two million, one hundred six thousand, four hundred fourteen".