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506771340348 = 2237213173899801
BaseRepresentation
bin1110101111111011110…
…11001111110000111100
31210110001202200102221210
413113331323033300330
531300331430342343
61024450232324420
751420160214400
oct7277573176074
91713052612853
10506771340348
11185a14234749
1282270843710
1338a32c73840
141a75665b100
15d2b0331333
hex75fdecfc3c

506771340348 has 144 divisors (see below), whose sum is σ = 1568469165984. Its totient is φ = 125791948800.

The previous prime is 506771340343. The next prime is 506771340379. The reversal of 506771340348 is 843043177605.

It is a super-2 number, since 2×5067713403482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506771340297 and 506771340306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506771340343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1819953 + ... + 2079848.

It is an arithmetic number, because the mean of its divisors is an integer number (10892146986).

Almost surely, 2506771340348 is an apocalyptic number.

It is an amenable number.

506771340348 is an abundant number, since it is smaller than the sum of its proper divisors (1061697825636).

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

506771340348 is a wasteful number, since it uses less digits than its factorization.

506771340348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899852 (or 3899843 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 506771340348 in words is "five hundred six billion, seven hundred seventy-one million, three hundred forty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 49 51 52 68 78 84 91 98 102 119 147 156 182 196 204 221 238 273 294 357 364 442 476 546 588 637 663 714 833 884 1092 1274 1326 1428 1547 1666 1911 2499 2548 2652 3094 3332 3822 4641 4998 6188 7644 9282 9996 10829 18564 21658 32487 43316 64974 129948 3899801 7799602 11699403 15599204 23398806 27298607 46797612 50697413 54597214 66296617 81895821 101394826 109194428 132593234 152092239 163791642 191090249 198889851 202789652 265186468 304184478 327583284 354881891 382180498 397779702 464076319 573270747 608368956 709763782 764360996 795559404 861856021 928152638 1064645673 1146541494 1392228957 1419527564 1723712042 1856305276 2129291346 2293082988 2484173237 2585568063 2784457914 3248534233 3447424084 4258582692 4968346474 5171136126 5568915828 6032992147 6497068466 7452519711 9745602699 9936692948 10342272252 12065984294 12994136932 14905039422 18098976441 19491205398 24131968588 29810078844 36197952882 38982410796 42230945029 72395905764 84461890058 126692835087 168923780116 253385670174 506771340348