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57307752570080 = 2553131913620803
BaseRepresentation
bin11010000011111000000000…
…01111000001110011100000
321111220120022210212122010102
431001330000033001303200
530002412234124220310
6321514452412321532
715033230350365065
oct1501740017016340
9244816283778112
1057307752570080
1117295099352341
1265167624732a8
1325c913706a67c
1410219d243cc6c
15695a8d4408a5
hex341f003c1ce0

57307752570080 has 96 divisors (see below), whose sum is σ = 139800806627328. Its totient is φ = 22176688089600.

The previous prime is 57307752570077. The next prime is 57307752570097. The reversal of 57307752570080 is 8007525770375.

It is a super-2 number, since 2×573077525700802 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57307752569998 and 57307752570025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14016959 + ... + 17637761.

It is an arithmetic number, because the mean of its divisors is an integer number (1456258402368).

Almost surely, 257307752570080 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 57307752570080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69900403313664).

57307752570080 is an abundant number, since it is smaller than the sum of its proper divisors (82493054057248).

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

57307752570080 is a wasteful number, since it uses less digits than its factorization.

57307752570080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624040 (or 3624032 counting only the distinct ones).

The product of its (nonzero) digits is 14406000, while the sum is 56.

The spelling of 57307752570080 in words is "fifty-seven trillion, three hundred seven billion, seven hundred fifty-two million, five hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 3191 4960 6382 12764 15955 25528 31910 51056 63820 98921 102112 127640 197842 255280 395684 494605 510560 791368 989210 1582736 1978420 3165472 3620803 3956840 7241606 7913680 14483212 15827360 18104015 28966424 36208030 57932848 72416060 112244893 115865696 144832120 224489786 289664240 448979572 561224465 579328480 897959144 1122448930 1795918288 2244897860 3591836576 4489795720 8979591440 11553982373 17959182880 23107964746 46215929492 57769911865 92431858984 115539823730 184863717968 231079647460 358173453563 369727435936 462159294920 716346907126 924318589840 1432693814252 1790867267815 1848637179680 2865387628504 3581734535630 5730775257008 7163469071260 11461550514016 14326938142520 28653876285040 57307752570080