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5162120000 = 26542331181
BaseRepresentation
bin1001100111010111…
…11011001101000000
3111022202102212101122
410303223323031000
541033000320000
62212122051412
7241631203352
oct46353731500
914282385348
105162120000
112209978184
121000949b68
1364361229b
1436d8230d2
152032cc085
hex133afb340

5162120000 has 280 divisors, whose sum is σ = 13863962112. Its totient is φ = 1900800000.

The previous prime is 5162119997. The next prime is 5162120003. The reversal of 5162120000 is 212615.

It is an interprime number because it is at equal distance from previous prime (5162119997) and next prime (5162120003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5162120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28519910 + ... + 28520090.

Almost surely, 25162120000 is an apocalyptic number.

5162120000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5162120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931981056).

5162120000 is an abundant number, since it is smaller than the sum of its proper divisors (8701842112).

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

5162120000 is a wasteful number, since it uses less digits than its factorization.

5162120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 5162120000 is about 71847.8948891337. The cubic root of 5162120000 is about 1728.2611416604.

Adding to 5162120000 its reverse (212615), we get a palindrome (5162332615).

The spelling of 5162120000 in words is "five billion, one hundred sixty-two million, one hundred twenty thousand".