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5030107776 = 2735592741
BaseRepresentation
bin1001010111101000…
…10101101010000000
3110222120000221200000
410223310111222000
540300201422101
62151044400000
7235436132151
oct45364255200
913876027600
105030107776
112151401471
12b846a6000
13622170945
1435a09b928
151e6902486
hex12bd15a80

5030107776 has 192 divisors, whose sum is σ = 15270746400. Its totient is φ = 1647682560.

The previous prime is 5030107727. The next prime is 5030107799. The reversal of 5030107776 is 6777010305.

5030107776 is a `hidden beast` number, since 503 + 0 + 10 + 77 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×50301077763 (a number of 30 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5030107776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1833766 + ... + 1836506.

Almost surely, 25030107776 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 5030107776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7635373200).

5030107776 is an abundant number, since it is smaller than the sum of its proper divisors (10240638624).

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

5030107776 is an equidigital number, since it uses as much as digits as its factorization.

5030107776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 5030107776 is about 70923.2527172859. The cubic root of 5030107776 is about 1713.4013186782.

The spelling of 5030107776 in words is "five billion, thirty million, one hundred seven thousand, seven hundred seventy-six".