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85473547376 = 24717733971549
BaseRepresentation
bin100111110011010011…
…1101101010001110000
322011121210120002102212
41033212213231101300
52400022212004001
6103133242431252
76114054110450
oct1174647552160
9264553502385
1085473547376
1133281653258
1214694b02528
1380a2116349
1441cbaa7d60
152353cb57bb
hex13e69ed470

85473547376 has 160 divisors (see below), whose sum is σ = 203784278400. Its totient is φ = 33896890368.

The previous prime is 85473547363. The next prime is 85473547399. The reversal of 85473547376 is 67374537458.

It is a super-3 number, since 3×854735473763 (a number of 34 digits) contains 333 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, 55179050 + ... + 55180598.

It is an arithmetic number, because the mean of its divisors is an integer number (1273651740).

Almost surely, 285473547376 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 85473547376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101892139200).

85473547376 is an abundant number, since it is smaller than the sum of its proper divisors (118310731024).

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

85473547376 is a wasteful number, since it uses less digits than its factorization.

85473547376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2045 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 59.

The spelling of 85473547376 in words is "eighty-five billion, four hundred seventy-three million, five hundred forty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 73 112 119 136 146 238 272 292 397 476 511 584 794 952 1022 1168 1241 1549 1588 1904 2044 2482 2779 3098 3176 4088 4964 5558 6196 6352 6749 8176 8687 9928 10843 11116 12392 13498 17374 19856 21686 22232 24784 26333 26996 28981 34748 43372 44464 47243 52666 53992 57962 69496 86744 94486 105332 107984 113077 115924 138992 173488 184331 188972 202867 210664 226154 231848 368662 377944 405734 421328 452308 463696 492677 614953 737324 755888 791539 811468 904616 985354 1229906 1474648 1583078 1622936 1809232 1922309 1970708 2459812 2949296 3166156 3245872 3448739 3844618 3941416 4304671 4919624 6332312 6897478 7689236 7882832 8609342 9839248 10454201 12664624 13456163 13794956 15378472 17218684 20908402 26912326 27589912 30756944 34437368 41816804 44891569 53824652 55179824 68874736 73179407 83633608 89783138 107649304 146358814 167267216 179566276 215298608 292717628 314240983 359132552 585435256 628481966 718265104 763156673 1170870512 1256963932 1526313346 2513927864 3052626692 5027855728 5342096711 6105253384 10684193422 12210506768 21368386844 42736773688 85473547376