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507057707996268 = 2231113295488174823
BaseRepresentation
bin111001101001010101001001…
…0100100001101010001101100
32110111100020120111022120111220
41303102222102210031101230
51012430113141221340033
64554231032325543340
7211542465460204152
oct16322522244152154
92414306514276456
10507057707996268
11137622a6a218910
1248a53220574b50
13189c144b943b70
148d2da1c9993d2
153d94b0450cbb3
hex1cd2a9290d46c

507057707996268 has 48 divisors (see below), whose sum is σ = 1389976374372096. Its totient is φ = 141834323914560.

The previous prime is 507057707996219. The next prime is 507057707996269. The reversal of 507057707996268 is 862699707750705.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 507057707996193 and 507057707996202.

It is not an unprimeable number, because it can be changed into a prime (507057707996269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147744085696 + ... + 147744089127.

It is an arithmetic number, because the mean of its divisors is an integer number (28957841132752).

Almost surely, 2507057707996268 is an apocalyptic number.

It is an amenable number.

507057707996268 is an abundant number, since it is smaller than the sum of its proper divisors (882918666375828).

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

507057707996268 is a wasteful number, since it uses less digits than its factorization.

507057707996268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295488174854 (or 295488174852 counting only the distinct ones).

The product of its (nonzero) digits is 2800526400, while the sum is 78.

The spelling of 507057707996268 in words is "five hundred seven trillion, fifty-seven billion, seven hundred seven million, nine hundred ninety-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 295488174823 590976349646 886464524469 1181952699292 1772929048938 3250369923053 3545858097876 3841346272699 6500739846106 7682692545398 9751109769159 11524038818097 13001479692212 15365385090796 19502219538318 23048077636194 39004439076636 42254808999689 46096155272388 84509617999378 126764426999067 169019235998756 253528853998134 507057707996268