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540788857440 = 25351386664881
BaseRepresentation
bin1111101111010011000…
…01110001101001100000
31220200212111122100201020
413313221201301221200
532330013421414230
61052233542005440
754033152305146
oct7675141615140
91820774570636
10540788857440
11199390236837
1288985116880
133bcc4781590
141c262499596
15e1019e0810
hex7de9871a60

540788857440 has 96 divisors (see below), whose sum is σ = 1834522222176. Its totient is φ = 133117255680.

The previous prime is 540788857409. The next prime is 540788857447. The reversal of 540788857440 is 44758887045.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540788857447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43326201 + ... + 43338680.

It is an arithmetic number, because the mean of its divisors is an integer number (19109606481).

Almost surely, 2540788857440 is an apocalyptic number.

It is an amenable number.

540788857440 is an abundant number, since it is smaller than the sum of its proper divisors (1293733364736).

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

540788857440 is a wasteful number, since it uses less digits than its factorization.

540788857440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86664912 (or 86664904 counting only the distinct ones).

The product of its (nonzero) digits is 40140800, while the sum is 60.

The spelling of 540788857440 in words is "five hundred forty billion, seven hundred eighty-eight million, eight hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 86664881 173329762 259994643 346659524 433324405 519989286 693319048 866648810 1039978572 1126643453 1299973215 1386638096 1733297620 2079957144 2253286906 2599946430 2773276192 3379930359 3466595240 4159914288 4506573812 5199892860 5633217265 6759860718 6933190480 8319828576 9013147624 10399785720 11266434530 13519721436 13866380960 16899651795 18026295248 20799571440 22532869060 27039442872 33799303590 36052590496 41599142880 45065738120 54078885744 67598607180 90131476240 108157771488 135197214360 180262952480 270394428720 540788857440