| Base | Representation |
|---|---|
| bin | 1110101100111001000… |
| … | …01001111010101100100 |
| 3 | 1210021211212122002210000 |
| 4 | 13112130201033111210 |
| 5 | 31234010101223100 |
| 6 | 1024020133501300 |
| 7 | 51331524533241 |
| oct | 7263441172544 |
| 9 | 1707755562700 |
| 10 | 505137132900 |
| 11 | 185255819484 |
| 12 | 81a954a1830 |
| 13 | 3883252199a |
| 14 | 1a63d5c05c8 |
| 15 | d216b26900 |
| hex | 759c84f564 |
505137132900 has 405 divisors, whose sum is σ = 1680209402641. Its totient is φ = 131274673920.
The previous prime is 505137132893. The next prime is 505137132937. The reversal of 505137132900 is 9231731505.
The square root of 505137132900 is 710730.
It is a perfect power (a square), and thus also a powerful number.
505137132900 is a `hidden beast` number, since 5 + 0 + 513 + 7 + 132 + 9 + 0 + 0 = 666.
It can be written as a sum of positive squares in 13 ways, for example, as 414949835556 + 90187297344 = 644166^2 + 300312^2 .
It is a tau number, because it is divible by the number of its divisors (405).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3390182026 + ... + 3390182174.
Almost surely, 2505137132900 is an apocalyptic number.
505137132900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
505137132900 is the 710730-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 505137132900
505137132900 is an abundant number, since it is smaller than the sum of its proper divisors (1175072269741).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
505137132900 is a wasteful number, since it uses less digits than its factorization.
505137132900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 430 (or 212 counting only the distinct ones).
The product of its (nonzero) digits is 28350, while the sum is 36.
Multiplying 505137132900 by its sum of digits (36), we get a square (18184936784400 = 42643802).
505137132900 divided by its sum of digits (36) gives a square (14031587025 = 1184552).
The spelling of 505137132900 in words is "five hundred five billion, one hundred thirty-seven million, one hundred thirty-two thousand, nine hundred".
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