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445253000254101 = 34134271523318919
BaseRepresentation
bin110010100111101001000101…
…0111010100101001010010101
32011101111202211010220210220000
41211033102022322211022111
5431330011121031112401
64214550223213201513
7162533316264312504
oct14517221272451225
92141452733823800
10445253000254101
11119964811a15816
1241b31020a90299
131615a24070b730
147bd450854c83b
1536720bb97a186
hex194f48aea5295

445253000254101 has 80 divisors (see below), whose sum is σ = 716637451031040. Its totient is φ = 273870867432960.

The previous prime is 445253000254099. The next prime is 445253000254177. The reversal of 445253000254101 is 101452000352544.

445253000254101 is a `hidden beast` number, since 4 + 4 + 525 + 3 + 0 + 0 + 0 + 25 + 4 + 101 = 666.

It is not a de Polignac number, because 445253000254101 - 21 = 445253000254099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445253000254801) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23534691120 + ... + 23534710038.

It is an arithmetic number, because the mean of its divisors is an integer number (8957968137888).

Almost surely, 2445253000254101 is an apocalyptic number.

It is an amenable number.

445253000254101 is a deficient number, since it is larger than the sum of its proper divisors (271384450776939).

445253000254101 is a wasteful number, since it uses less digits than its factorization.

445253000254101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28448 (or 28439 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 445253000254101 in words is "four hundred forty-five trillion, two hundred fifty-three billion, two hundred fifty-four thousand, one hundred one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 4271 5233 12813 15699 18919 38439 47097 55523 56757 68029 115317 141291 166569 170271 204087 245947 345951 423873 499707 510813 612261 737841 1499121 1532439 1836783 2213523 4497363 5510349 6640569 19921707 22350143 67050429 80803049 99003127 201151287 242409147 290551859 297009381 603453861 727227441 871655577 891028143 1050439637 1287040651 1810361583 2181682323 2614966731 2673084429 3151318911 3861121953 6545046969 7844900193 8019253287 9453956733 11583365859 23534700579 28361870199 34750097577 85085610597 104250292731 422842355417 1268527066251 3805581198753 5496950620421 11416743596259 16490851861263 34250230788777 49472555583789 148417666751367 445253000254101