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506253024445 = 571491912272239
BaseRepresentation
bin1110101110111110000…
…10000001110010111101
31210101201122101021012111
413113133002001302331
531243301233240240
61024322555134021
751401264464330
oct7273702016275
91711648337174
10506253024445
111857786a82a3
1282147144311
133897c777a3c
141a707898617
15d27ea9b1ea
hex75df081cbd

506253024445 has 64 divisors (see below), whose sum is σ = 706019328000. Its totient is φ = 341346205440.

The previous prime is 506253024443. The next prime is 506253024481. The reversal of 506253024445 is 544420352605.

It is a happy number.

It is not a de Polignac number, because 506253024445 - 21 = 506253024443 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506253024398 and 506253024407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506253024443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226105636 + ... + 226107874.

It is an arithmetic number, because the mean of its divisors is an integer number (11031552000).

Almost surely, 2506253024445 is an apocalyptic number.

It is an amenable number.

506253024445 is a deficient number, since it is larger than the sum of its proper divisors (199766303555).

506253024445 is a wasteful number, since it uses less digits than its factorization.

506253024445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818.

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 506253024445 in words is "five hundred six billion, two hundred fifty-three million, twenty-four thousand, four hundred forty-five".

Divisors: 1 5 7 35 149 191 227 745 955 1043 1135 1337 1589 2239 5215 6685 7945 11195 15673 28459 33823 43357 78365 142295 169115 199213 216785 236761 303499 333611 427649 508253 996065 1183805 1517495 1668055 2138245 2335277 2541265 2993543 3557771 6460193 11676385 14967715 17788855 32300965 45221351 63719701 75729697 97076323 226106755 318598505 378648485 446037907 485381615 530107879 679534261 2230189535 2650539395 3397671305 14464372127 72321860635 101250604889 506253024445