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5146233120 = 2532573143383
BaseRepresentation
bin1001100101011110…
…10100100100100000
3111021122112201200200
410302233110210200
541014413424440
62210353345200
7241346155050
oct46257244440
914248481620
105146233120
112200a07126
12bb7568200
1364023c072
1436b689560
15201bdec30
hex132bd4920

5146233120 has 576 divisors, whose sum is σ = 21254897664. Its totient is φ = 1108961280.

The previous prime is 5146233107. The next prime is 5146233133. The reversal of 5146233120 is 213326415.

5146233120 is a `hidden beast` number, since 5 + 1 + 4 + 623 + 31 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5146233107) and next prime (5146233133).

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, 13436449 + ... + 13436831.

It is an arithmetic number, because the mean of its divisors is an integer number (36900864).

Almost surely, 25146233120 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 5146233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10627448832).

5146233120 is an abundant number, since it is smaller than the sum of its proper divisors (16108664544).

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

5146233120 is a wasteful number, since it uses less digits than its factorization.

5146233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5146233120 is about 71737.2505745795. The cubic root of 5146233120 is about 1726.4863609885.

Adding to 5146233120 its reverse (213326415), we get a palindrome (5359559535).

The spelling of 5146233120 in words is "five billion, one hundred forty-six million, two hundred thirty-three thousand, one hundred twenty".