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57840700068 = 223219378232777
BaseRepresentation
bin110101110111100100…
…110000101010100100
312112022000111000002200
4311313210300222210
51421424204400233
642323250534500
74115226560424
oct656744605244
9175260430080
1057840700068
1122591627068
12b262897430
1355ba2a8c18
142b29bac484
151787dc5313
hexd77930aa4

57840700068 has 144 divisors (see below), whose sum is σ = 158312219520. Its totient is φ = 17743836672.

The previous prime is 57840700033. The next prime is 57840700079. The reversal of 57840700068 is 86000704875.

57840700068 is a `hidden beast` number, since 578 + 4 + 0 + 70 + 0 + 0 + 6 + 8 = 666.

57840700068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57840699996 and 57840700032.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20827096 + ... + 20829872.

Almost surely, 257840700068 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 57840700068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79156109760).

57840700068 is an abundant number, since it is smaller than the sum of its proper divisors (100471519452).

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

57840700068 is a wasteful number, since it uses less digits than its factorization.

57840700068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 57840700068 in words is "fifty-seven billion, eight hundred forty million, seven hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 823 1332 1406 1646 2109 2469 2777 2812 3292 4218 4938 5554 6327 7407 8331 8436 9876 11108 12654 14814 15637 16662 24993 25308 29628 30451 31274 33324 46911 49986 52763 60902 62548 91353 93822 99972 102749 105526 121804 140733 158289 182706 187644 205498 211052 274059 281466 308247 316578 365412 410996 474867 548118 562932 578569 616494 633156 924741 949734 1096236 1157138 1232988 1735707 1849482 1899468 1952231 2285471 2314276 3471414 3698964 3904462 4570942 5207121 5856693 6856413 6942828 7808924 9141884 10414242 11713386 13712826 17570079 20569239 20828484 23426772 27425652 35140158 41138478 43423949 70280316 82276956 84562427 86847898 130271847 169124854 173695796 253687281 260543694 338249708 390815541 507374562 521087388 761061843 781631082 1014749124 1522123686 1563262164 1606686113 3044247372 3213372226 4820058339 6426744452 9640116678 14460175017 19280233356 28920350034 57840700068