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511313113554004 = 2229533492179109363
BaseRepresentation
bin111010001000010010101110…
…0100000001001110001010100
32111001102001112000121220202101
41310100211130200021301110
51014004323224032212004
65011250000203251444
7212462103416504506
oct16420453440116124
92431361460556671
10511313113554004
11138a13745772213
124941baa7219b84
1318c3c809696248
1490399885bbd76
153e1a662b48ba4
hex1d1095c809c54

511313113554004 has 96 divisors (see below), whose sum is σ = 946263260880000. Its totient is φ = 241376471271936.

The previous prime is 511313113553993. The next prime is 511313113554007. The reversal of 511313113554004 is 400455311313115.

It is a happy number.

It is a super-2 number, since 2×5113131135540042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511313113554007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4675321027 + ... + 4675430389.

It is an arithmetic number, because the mean of its divisors is an integer number (9856908967500).

Almost surely, 2511313113554004 is an apocalyptic number.

It is an amenable number.

511313113554004 is a deficient number, since it is larger than the sum of its proper divisors (434950147325996).

511313113554004 is a wasteful number, since it uses less digits than its factorization.

511313113554004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111977 (or 111975 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

Adding to 511313113554004 its reverse (400455311313115), we get a palindrome (911768424867119).

The spelling of 511313113554004 in words is "five hundred eleven trillion, three hundred thirteen billion, one hundred thirteen million, five hundred fifty-four thousand, four".

Divisors: 1 2 4 29 53 58 106 116 212 349 698 1396 1537 2179 3074 4358 6148 8716 10121 18497 20242 36994 40484 63191 73988 109363 115487 126382 218726 230974 252764 437452 461948 536413 760471 1072826 1520942 2145652 3041884 3171527 3349123 5796239 6343054 6698246 11592478 12686108 13396492 22053659 23184956 38167687 40304963 44107318 76335374 80609926 88214636 152670748 161219852 168090931 238301977 336181862 476603954 672363724 953207908 1106862923 1168843927 2022887411 2213725846 2337687854 4045774822 4427451692 4675375708 6910757333 8091549644 12630004781 13821514666 25260009562 27643029332 50520019124 58663734919 83167389973 117327469838 166334779946 234654939676 332669559892 366270138649 732540277298 1465080554596 2411854309217 4407871668569 4823708618434 8815743337138 9647417236868 17631486674276 127828278388501 255656556777002 511313113554004