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5112761760760 = 2354127144925621
BaseRepresentation
bin100101001100110100001…
…0110010011101111111000
3200002202221011021002022211
41022121220112103233320
51132231414002321020
614512434220224504
71035246000625213
oct112315026235770
920082834232284
105112761760760
1116a13457a7385
126a6a7969b134
132b11927c0124
1413965d67877a
158cedbeed85a
hex4a668593bf8

5112761760760 has 128 divisors (see below), whose sum is σ = 11854581984000. Its totient is φ = 1983356928000.

The previous prime is 5112761760713. The next prime is 5112761760793. The reversal of 5112761760760 is 670671672115.

It is a super-2 number, since 2×51127617607602 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 199540750 + ... + 199566370.

It is an arithmetic number, because the mean of its divisors is an integer number (92613921750).

Almost surely, 25112761760760 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 5112761760760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927290992000).

5112761760760 is an abundant number, since it is smaller than the sum of its proper divisors (6741820223240).

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

5112761760760 is a wasteful number, since it uses less digits than its factorization.

5112761760760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26393 (or 26389 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 49.

The spelling of 5112761760760 in words is "five trillion, one hundred twelve billion, seven hundred sixty-one million, seven hundred sixty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 271 328 410 449 542 820 898 1084 1355 1640 1796 2168 2245 2710 3592 4490 5420 8980 10840 11111 17960 18409 22222 25621 36818 44444 51242 55555 73636 88888 92045 102484 111110 121679 128105 147272 184090 204968 222220 243358 256210 368180 444440 486716 512420 608395 736360 973432 1024840 1050461 1216790 2100922 2433580 4201844 4867160 4988839 5252305 6943291 8403688 9977678 10504610 11503829 13886582 19955356 21009220 23007658 24944195 27773164 34716455 39910712 42018440 46015316 49888390 55546328 57519145 69432910 92030632 99776780 115038290 138865820 199553560 230076580 277731640 284674931 460153160 471656989 569349862 943313978 1138699724 1423374655 1886627956 2277399448 2358284945 2846749310 3117537659 3773255912 4716569890 5693498620 6235075318 9433139780 11386997240 12470150636 15587688295 18866279560 24940301272 31175376590 62350753180 124701506360 127819044019 255638088038 511276176076 639095220095 1022552352152 1278190440190 2556380880380 5112761760760