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54163513620440 = 23573731291401711
BaseRepresentation
bin11000101000010111011001…
…11111010011011111011000
321002202222111101120112012022
430110023230333103133120
524044403333441323230
6311110212531434012
714260120234315640
oct1424135477233730
9232688441515168
1054163513620440
1116292687442964
1260a9303155908
13242b79c6b3373
14d53756d63520
1563ddb5ca51e5
hex3142ecfd37d8

54163513620440 has 128 divisors (see below), whose sum is σ = 139759525509120. Its totient is φ = 18506169100800.

The previous prime is 54163513620421. The next prime is 54163513620457. The reversal of 54163513620440 is 4402631536145.

It is a junction number, because it is equal to n+sod(n) for n = 54163513620391 and 54163513620400.

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, 134631185 + ... + 135032895.

It is an arithmetic number, because the mean of its divisors is an integer number (1091871293040).

Almost surely, 254163513620440 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 54163513620440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69879762754560).

54163513620440 is an abundant number, since it is smaller than the sum of its proper divisors (85596011888680).

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

54163513620440 is a wasteful number, since it uses less digits than its factorization.

54163513620440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403393 (or 403389 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 54163513620440 in words is "fifty-four trillion, one hundred sixty-three billion, five hundred thirteen million, six hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 373 746 1291 1492 1865 2582 2611 2984 3730 5164 5222 6455 7460 9037 10328 10444 12910 13055 14920 18074 20888 25820 26110 36148 45185 51640 52220 72296 90370 104440 180740 361480 401711 481543 803422 963086 1606844 1926172 2008555 2407715 2811977 3213688 3370801 3852344 4017110 4815430 5623954 6741602 8034220 9630860 11247908 13483204 14059885 16068440 16854005 19261720 22495816 26966408 28119770 33708010 56239540 67416020 112479080 134832040 149838203 299676406 518608901 599352812 749191015 1037217802 1048867421 1198705624 1498382030 2074435604 2097734842 2593044505 2996764060 3630262307 4148871208 4195469684 5186089010 5244337105 5993528120 7260524614 8390939368 10372178020 10488674210 14521049228 18151311535 20744356040 20977348420 29042098456 36302623070 41954696840 72605246140 145210492280 193441120073 386882240146 773764480292 967205600365 1354087840511 1547528960584 1934411200730 2708175681022 3868822401460 5416351362044 6770439202555 7737644802920 10832702724088 13540878405110 27081756810220 54163513620440