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2551535555040 = 253252377039117
BaseRepresentation
bin100101001000010011010…
…111101101000111100000
3100000220221220022000100100
4211020103113231013200
5313301021100230130
65232054222022400
7352225300241133
oct45102327550740
910026856260310
102551535555040
118a411133658a
12352608117a00
131567bb6126c4
148b6d032021a
15465881c4c60
hex252135ed1e0

2551535555040 has 144 divisors (see below), whose sum is σ = 9085685420448. Its totient is φ = 650826451968.

The previous prime is 2551535554973. The next prime is 2551535555077. The reversal of 2551535555040 is 405555351552.

2551535555040 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 5 + 3 + 55 + 550 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38486439 + ... + 38552678.

It is an arithmetic number, because the mean of its divisors is an integer number (63095037642).

Almost surely, 22551535555040 is an apocalyptic number.

2551535555040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2551535555040 is an abundant number, since it is smaller than the sum of its proper divisors (6534149865408).

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

2551535555040 is a wasteful number, since it uses less digits than its factorization.

2551535555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77039161 (or 77039150 counting only the distinct ones).

The product of its (nonzero) digits is 1875000, while the sum is 45.

The spelling of 2551535555040 in words is "two trillion, five hundred fifty-one billion, five hundred thirty-five million, five hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 77039117 154078234 231117351 308156468 385195585 462234702 616312936 693352053 770391170 924469404 1155586755 1232625872 1386704106 1540782340 1771899691 1848938808 2311173510 2465251744 2773408212 3081564680 3466760265 3543799382 3697877616 4622347020 5315699073 5546816424 6163129360 6933520530 7087598764 7395755232 8859498455 9244694040 10631398146 11093632848 12326258720 13867041060 14175197528 15947097219 17718996910 18489388080 21262796292 22187265696 26578495365 27734082120 28350395056 31894194438 35437993820 36978776160 42525592584 53156990730 55468164240 56700790112 63788388876 70875987640 79735486095 85051185168 106313981460 110936328480 127576777752 141751975280 159470972190 170102370336 212627962920 255153555504 283503950560 318941944380 425255925840 510307111008 637883888760 850511851680 1275767777520 2551535555040