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6552985440 = 253526895077
BaseRepresentation
bin1100001101001011…
…01001111101100000
3121220200121011002110
412012211221331200
5101410031013230
63002125115320
7321250312551
oct60645517540
917820534073
106552985440
112862a97a51
12132a6b8b40
138058130a1
14462438328
1528546a4b0
hex186969f60

6552985440 has 96 divisors (see below), whose sum is σ = 20653647840. Its totient is φ = 1746468864.

The previous prime is 6552985429. The next prime is 6552985441. The reversal of 6552985440 is 445892556.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6552985440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6552985441) 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, 1288182 + ... + 1293258.

It is an arithmetic number, because the mean of its divisors is an integer number (215142165).

Almost surely, 26552985440 is an apocalyptic number.

6552985440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6552985440 is an abundant number, since it is smaller than the sum of its proper divisors (14100662400).

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

6552985440 is a wasteful number, since it uses less digits than its factorization.

6552985440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7784 (or 7776 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The square root of 6552985440 is about 80950.5122899170. The cubic root of 6552985440 is about 1871.3128550437.

The spelling of 6552985440 in words is "six billion, five hundred fifty-two million, nine hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2689 5077 5378 8067 10154 10756 13445 15231 16134 20308 21512 25385 26890 30462 32268 40335 40616 43024 50770 53780 60924 64536 76155 80670 81232 86048 101540 107560 121848 129072 152310 161340 162464 203080 215120 243696 258144 304620 322680 406160 430240 487392 609240 645360 812320 1218480 1290720 2436960 13652053 27304106 40956159 54608212 68260265 81912318 109216424 136520530 163824636 204780795 218432848 273041060 327649272 409561590 436865696 546082120 655298544 819123180 1092164240 1310597088 1638246360 2184328480 3276492720 6552985440