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6042546310272 = 273131268344771
BaseRepresentation
bin101011111101110001111…
…0100111000110010000000
3210101122212102221001102120
41113323203310320302000
51243000113323412042
620503524002044240
71162362634120113
oct127734364706200
923348772831376
106042546310272
111a1a6a195504a
12817104649680
1334aa6ab07614
1416c66462457a
15a72a9296dec
hex57ee3d38c80

6042546310272 has 128 divisors (see below), whose sum is σ = 16179425982720. Its totient is φ = 1998017049600.

The previous prime is 6042546310237. The next prime is 6042546310279. The reversal of 6042546310272 is 2720136452406.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×60425463102722 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6042546310279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134943247 + ... + 134988017.

It is an arithmetic number, because the mean of its divisors is an integer number (126401765490).

Almost surely, 26042546310272 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 6042546310272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8089712991360).

6042546310272 is an abundant number, since it is smaller than the sum of its proper divisors (10136879672448).

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

6042546310272 is a wasteful number, since it uses less digits than its factorization.

6042546310272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47602 (or 47590 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 6042546310272 in words is "six trillion, forty-two billion, five hundred forty-six million, three hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 262 384 393 524 786 1048 1572 2096 2683 3144 4192 5366 6288 8049 8384 10732 12576 16098 16768 21464 25152 32196 42928 44771 50304 64392 85856 89542 128784 134313 171712 179084 257568 268626 343424 351473 358168 515136 537252 702946 716336 1030272 1054419 1074504 1405892 1432672 2108838 2149008 2811784 2865344 4217676 4298016 5623568 5730688 5865001 8435352 8596032 11247136 11730002 16870704 17192064 17595003 22494272 23460004 33741408 35190006 44988544 46920008 67482816 70380012 93840016 120120593 134965632 140760024 187680032 240241186 281520048 360361779 375360064 480482372 563040096 720723558 750720128 960964744 1126080192 1441447116 1921929488 2252160384 2882894232 3843858976 5765788464 7687717952 11531576928 15375435904 15735797683 23063153856 31471595366 46126307712 47207393049 62943190732 94414786098 125886381464 188829572196 251772762928 377659144392 503545525856 755318288784 1007091051712 1510636577568 2014182103424 3021273155136 6042546310272