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5066756136000 = 263253136188741
BaseRepresentation
bin100100110111011001000…
…1100110001110001000000
3122221101011221120012102200
41021232302030301301000
51131003204032323000
614435345144113200
71032026640361266
oct111566214616100
918841157505380
105066756136000
111683887826599
12699b7a465800
132a9a40452860
14137337636436
158bbe816c500
hex49bb2331c40

5066756136000 has 672 divisors, whose sum is σ = 19839037991136. Its totient is φ = 1226741760000.

The previous prime is 5066756135993. The next prime is 5066756136007. The reversal of 5066756136000 is 6316576605.

5066756136000 is a `hidden beast` number, since 50 + 6 + 6 + 7 + 561 + 36 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5066756135993) and next prime (5066756136007).

It can be written as a sum of positive squares in 16 ways, for example, as 5038013680704 + 28742455296 = 2244552^2 + 169536^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5066756136007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57051630 + ... + 57140370.

It is an arithmetic number, because the mean of its divisors is an integer number (29522377963).

Almost surely, 25066756136000 is an apocalyptic number.

5066756136000 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 5066756136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9919518995568).

5066756136000 is an abundant number, since it is smaller than the sum of its proper divisors (14772281855136).

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

5066756136000 is a wasteful number, since it uses less digits than its factorization.

5066756136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88848 (or 88825 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 5066756136000 in words is "five trillion, sixty-six billion, seven hundred fifty-six million, one hundred thirty-six thousand".