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54409367040 = 293571012079
BaseRepresentation
bin110010101011000011…
…010000111000000000
312012102212211020002020
4302223003100320000
51342412244221130
640554553321440
73634212663150
oct625303207000
9165385736066
1054409367040
112109073a846
12a665706280
135191432452
1428c21a6760
151636a2de10
hexcab0d0e00

54409367040 has 160 divisors (see below), whose sum is σ = 198788705280. Its totient is φ = 12436414464.

The previous prime is 54409367011. The next prime is 54409367071. The reversal of 54409367040 is 4076390445.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 54409366983 and 54409367001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452280 + ... + 559799.

It is an arithmetic number, because the mean of its divisors is an integer number (1242429408).

Almost surely, 254409367040 is an apocalyptic number.

It is an amenable number.

54409367040 is an abundant number, since it is smaller than the sum of its proper divisors (144379338240).

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

54409367040 is a wasteful number, since it uses less digits than its factorization.

54409367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012112 (or 1012096 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 54409367040 in words is "fifty-four billion, four hundred nine million, three hundred sixty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 1012079 2024158 3036237 4048316 5060395 6072474 7084553 8096632 10120790 12144948 14169106 15181185 16193264 20241580 21253659 24289896 28338212 30362370 32386528 35422765 40483160 42507318 48579792 56676424 60724740 64773056 70845530 80966320 85014636 97159584 106268295 113352848 121449480 129546112 141691060 161932640 170029272 194319168 212536590 226705696 242898960 259092224 283382120 323865280 340058544 388638336 425073180 453411392 485797920 518184448 566764240 647730560 680117088 777276672 850146360 906822784 971595840 1133528480 1295461120 1360234176 1554553344 1700292720 1813645568 1943191680 2267056960 2590922240 2720468352 3400585440 3627291136 3886383360 4534113920 5440936704 6801170880 7772766720 9068227840 10881873408 13602341760 18136455680 27204683520 54409367040