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54032200525040 = 245377323425431
BaseRepresentation
bin11000100100100010110100…
…00111100110010011110000
321002022102112221211010022112
430102101122013212103300
524040230421313300130
6310530014504224452
714244461204400053
oct1422213207462360
9232272487733275
1054032200525040
1116241a22641821
12608797676b128
13241c2a376a10a
14d4b25b328a9a
1563a77ca16495
hex31245a1e64f0

54032200525040 has 120 divisors (see below), whose sum is σ = 130811781090528. Its totient is φ = 20740677212160.

The previous prime is 54032200525019. The next prime is 54032200525063. The reversal of 54032200525040 is 4052500223045.

It is a junction number, because it is equal to n+sod(n) for n = 54032200524988 and 54032200525006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14061125 + ... + 17486555.

Almost surely, 254032200525040 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 54032200525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65405890545264).

54032200525040 is an abundant number, since it is smaller than the sum of its proper divisors (76779580565488).

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

54032200525040 is a wasteful number, since it uses less digits than its factorization.

54032200525040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425627 (or 3425548 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

Adding to 54032200525040 its reverse (4052500223045), we get a palindrome (58084700748085).

The spelling of 54032200525040 in words is "fifty-four trillion, thirty-two billion, two hundred million, five hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 73 74 80 146 148 185 292 296 365 370 584 592 730 740 1168 1460 1480 2701 2920 2960 5329 5402 5840 10658 10804 13505 21316 21608 26645 27010 42632 43216 53290 54020 85264 106580 108040 197173 213160 216080 394346 426320 788692 985865 1577384 1971730 3154768 3425431 3943460 6850862 7886920 13701724 15773840 17127155 27403448 34254310 54806896 68508620 126740947 137017240 250056463 253481894 274034480 500112926 506963788 633704735 1000225852 1013927576 1250282315 1267409470 2000451704 2027855152 2500564630 2534818940 4000903408 5001129260 5069637880 9252089131 10002258520 10139275760 18254121799 18504178262 20004517040 36508243598 37008356524 46260445655 73016487196 74016713048 91270608995 92520891310 146032974392 148033426096 182541217990 185041782620 292065948784 365082435980 370083565240 675402506563 730164871960 740167130480 1350805013126 1460329743920 2701610026252 3377012532815 5403220052504 6754025065630 10806440105008 13508050131260 27016100262520 54032200525040