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53402105091744 = 25324711093557431
BaseRepresentation
bin11000010010001101001011…
…00000010001011010100000
321000002012011112002122120200
430021012211200101122200
523444420002400413434
6305324331032305200
714151113642521023
oct1411064540213240
9230065145078520
1053402105091744
1116019784152802
125ba5828b42200
1323a4a48a42816
14d289660b71ba
156291a09bd199
hex3091a58116a0

53402105091744 has 144 divisors (see below), whose sum is σ = 155233241130240. Its totient is φ = 17406248855040.

The previous prime is 53402105091737. The next prime is 53402105091779. The reversal of 53402105091744 is 44719050120435.

53402105091744 is a `hidden beast` number, since 5 + 340 + 210 + 5 + 0 + 91 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 53402105091744.

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, 13232709 + ... + 16790139.

It is an arithmetic number, because the mean of its divisors is an integer number (1078008618960).

Almost surely, 253402105091744 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 53402105091744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77616620565120).

53402105091744 is an abundant number, since it is smaller than the sum of its proper divisors (101831136038496).

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

53402105091744 is a wasteful number, since it uses less digits than its factorization.

53402105091744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558603 (or 3558592 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 53402105091744 in words is "fifty-three trillion, four hundred two billion, one hundred five million, ninety-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1109 1128 1504 1692 2218 2256 3327 3384 4436 4512 6654 6768 8872 9981 13308 13536 17744 19962 26616 35488 39924 52123 53232 79848 104246 106464 156369 159696 208492 312738 319392 416984 469107 625476 833968 938214 1250952 1667936 1876428 2501904 3557431 3752856 5003808 7114862 7505712 10672293 14229724 15011424 21344586 28459448 32016879 42689172 56918896 64033758 85378344 113837792 128067516 167199257 170756688 256135032 334398514 341513376 501597771 512270064 668797028 1003195542 1024540128 1337594056 1504793313 2006391084 2675188112 3009586626 3945190979 4012782168 5350376224 6019173252 7890381958 8025564336 11835572937 12038346504 15780763916 16051128672 23671145874 24076693008 31561527832 35506718811 47342291748 48153386016 63123055664 71013437622 94684583496 126246111328 142026875244 185423976013 189369166992 284053750488 370847952026 378738333984 556271928039 568107500976 741695904052 1112543856078 1136215001952 1483391808104 1668815784117 2225087712156 2966783616208 3337631568234 4450175424312 5933567232416 6675263136468 8900350848624 13350526272936 17800701697248 26701052545872 53402105091744