Search a number
-
+
54492069346080 = 2535174721649751
BaseRepresentation
bin11000110001111011011000…
…11011111011101100100000
321010221101120000010201100120
430120331230123323230200
524120244224223033310
6311521151105120240
714322631164024612
oct1430755433735440
9233841500121316
1054492069346080
11163a9a585a4513
126140b17929080
1324537705c6342
14d65604794db2
156476e539eb70
hex318f6c6fbb20

54492069346080 has 96 divisors (see below), whose sum is σ = 171651265043328. Its totient is φ = 14531112960000.

The previous prime is 54492069346019. The next prime is 54492069346103. The reversal of 54492069346080 is 8064396029445.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×544920693460802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 83541205 + ... + 84190955.

It is an arithmetic number, because the mean of its divisors is an integer number (1788034010868).

Almost surely, 254492069346080 is an apocalyptic number.

It is an amenable number.

54492069346080 is an abundant number, since it is smaller than the sum of its proper divisors (117159195697248).

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

54492069346080 is a wasteful number, since it uses less digits than its factorization.

54492069346080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824490 (or 824482 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 60.

The spelling of 54492069346080 in words is "fifty-four trillion, four hundred ninety-two billion, sixty-nine million, three hundred forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 174721 349442 524163 649751 698884 873605 1048326 1299502 1397768 1747210 1949253 2096652 2599004 2620815 2795536 3248755 3494420 3898506 4193304 5198008 5241630 5591072 6497510 6988840 7797012 8386608 9746265 10396016 10483260 12995020 13977680 15594024 16773216 19492530 20792032 20966520 25990040 27955360 31188048 38985060 41933040 51980080 62376096 77970120 83866080 103960160 155940240 311880480 113525144471 227050288942 340575433413 454100577884 567625722355 681150866826 908201155768 1135251444710 1362301733652 1702877167065 1816402311536 2270502889420 2724603467304 3405754334130 3632804623072 4541005778840 5449206934608 6811508668260 9082011557680 10898413869216 13623017336520 18164023115360 27246034673040 54492069346080