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76373434849060 = 225191676101197261
BaseRepresentation
bin10001010111011000010011…
…011101000101011100100100
3101000102020011222201012102101
4101113120103131011130210
540002300243310132220
6430233245511221444
722041540625006456
oct2127302335053444
9330366158635371
1076373434849060
1122375878a14878
128695824977884
13337cca3b179bb
1414c06cb64c2d6
158c69ad08b30a
hex457613745724

76373434849060 has 96 divisors (see below), whose sum is σ = 169865117210880. Its totient is φ = 28763348544000.

The previous prime is 76373434849043. The next prime is 76373434849181. The reversal of 76373434849060 is 6094843437367.

It is a super-2 number, since 2×763734348490602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76373434848983 and 76373434849001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387070830 + ... + 387268090.

It is an arithmetic number, because the mean of its divisors is an integer number (1769428304280).

Almost surely, 276373434849060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76373434849060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84932558605440).

76373434849060 is an abundant number, since it is smaller than the sum of its proper divisors (93491682361820).

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

76373434849060 is a wasteful number, since it uses less digits than its factorization.

76373434849060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203557 (or 203555 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 64.

The spelling of 76373434849060 in words is "seventy-six trillion, three hundred seventy-three billion, four hundred thirty-four million, eight hundred forty-nine thousand, sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 167 190 334 380 668 835 1670 3173 3340 6101 6346 12202 12692 15865 24404 30505 31730 61010 63460 115919 122020 197261 231838 394522 463676 579595 789044 986305 1018867 1159190 1972610 2037734 2318380 3747959 3945220 4075468 5094335 7495918 10188670 14991836 18739795 19358473 20377340 32942587 37479590 38716946 65885174 74959180 77433892 96792365 131770348 164712935 193584730 329425870 387169460 625909153 658851740 1203489361 1251818306 2406978722 2503636612 3129545765 4813957444 6017446805 6259091530 12034893610 12518183060 22866297859 24069787220 45732595718 91465191436 114331489295 200982723287 228662978590 401965446574 457325957180 803930893148 1004913616435 2009827232870 3818671742453 4019654465740 7637343484906 15274686969812 19093358712265 38186717424530 76373434849060