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2553645662040 = 2335116131714427
BaseRepresentation
bin100101001010010001001…
…001000111111101011000
3100001010101221211112222110
4211022101021013331120
5313314331242141130
65233043440552320
7352331501661444
oct45122111077530
910033357745873
102553645662040
118a4aa4448170
12352ab69226a0
13156a6682ba25
148b85067b824
154665d586ab0
hex25291247f58

2553645662040 has 128 divisors (see below), whose sum is σ = 8494392395520. Its totient is φ = 608916979200.

The previous prime is 2553645662039. The next prime is 2553645662059. The reversal of 2553645662040 is 402665463552.

It is a super-2 number, since 2×25536456620402 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 15776694 + ... + 15937733.

It is an arithmetic number, because the mean of its divisors is an integer number (66362440590).

Almost surely, 22553645662040 is an apocalyptic number.

2553645662040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553645662040 is an abundant number, since it is smaller than the sum of its proper divisors (5940746733480).

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

2553645662040 is a wasteful number, since it uses less digits than its factorization.

2553645662040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31714513 (or 31714509 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 2553645662040 in words is "two trillion, five hundred fifty-three billion, six hundred forty-five million, six hundred sixty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 61 66 88 110 120 122 132 165 183 220 244 264 305 330 366 440 488 610 660 671 732 915 1220 1320 1342 1464 1830 2013 2440 2684 3355 3660 4026 5368 6710 7320 8052 10065 13420 16104 20130 26840 40260 80520 31714427 63428854 95143281 126857708 158572135 190286562 253715416 317144270 348858697 380573124 475716405 634288540 697717394 761146248 951432810 1046576091 1268577080 1395434788 1744293485 1902865620 1934580047 2093152182 2790869576 3488586970 3805731240 3869160094 4186304364 5232880455 5803740141 6977173940 7738320188 8372608728 9672900235 10465760910 11607480282 13954347880 15476640376 19345800470 20931521820 21280380517 23214960564 29018700705 38691600940 41863043640 42560761034 46429921128 58037401410 63841141551 77383201880 85121522068 106401902585 116074802820 127682283102 170243044136 212803805170 232149605640 255364566204 319205707755 425607610340 510729132408 638411415510 851215220680 1276822831020 2553645662040