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6036997120 = 210571115313
BaseRepresentation
bin1011001111101010…
…10100010000000000
3120120201200020011221
411213311110100000
544330432401440
62435013444424
7302413425460
oct54765242000
916521606157
106036997120
112618800320
121205940714
1375295085b
14413abdba0
15254ee4d4a
hex167d54400

6036997120 has 176 divisors, whose sum is σ = 18056308608. Its totient is φ = 1881538560.

The previous prime is 6036997103. The next prime is 6036997123. The reversal of 6036997120 is 217996306.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (6036997123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386584 + ... + 401896.

Almost surely, 26036997120 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 6036997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9028154304).

6036997120 is an abundant number, since it is smaller than the sum of its proper divisors (12019311488).

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

6036997120 is a wasteful number, since it uses less digits than its factorization.

6036997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15356 (or 15338 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 43.

The square root of 6036997120 is about 77698.1152924574. The cubic root of 6036997120 is about 1820.8478439126.

The spelling of 6036997120 in words is "six billion, thirty-six million, nine hundred ninety-seven thousand, one hundred twenty".