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20077200557631 = 35761826323417
BaseRepresentation
bin1001001000010100101100…
…11010000100011000111111
32122002100202121221011200000
410210022112122010120333
510112421101320321011
6110411201050005343
74141346513646630
oct444122632043077
978070677834600
1020077200557631
116440769337688
122303119a16853
13b2836c455379
144d5a552b9887
1524c3c26ca356
hex12429668463f

20077200557631 has 96 divisors (see below), whose sum is σ = 34940021695488. Its totient is φ = 11282761693440.

The previous prime is 20077200557599. The next prime is 20077200557681. The reversal of 20077200557631 is 13675500277002.

20077200557631 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 7 + 2 + 0 + 0 + 5 + 5 + 7 + 631 = 666.

It is not a de Polignac number, because 20077200557631 - 25 = 20077200557599 is a prime.

It is a super-2 number, since 2×200772005576312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20077200557681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 857365435 + ... + 857388851.

It is an arithmetic number, because the mean of its divisors is an integer number (363958559328).

Almost surely, 220077200557631 is an apocalyptic number.

20077200557631 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20077200557631 is a deficient number, since it is larger than the sum of its proper divisors (14862821137857).

20077200557631 is an equidigital number, since it uses as much as digits as its factorization.

20077200557631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31763 (or 31751 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 20077200557631 in words is "twenty trillion, seventy-seven billion, two hundred million, five hundred fifty-seven thousand, six hundred thirty-one".

Divisors: 1 3 7 9 21 27 61 63 81 183 189 243 427 549 567 1281 1647 1701 3843 4941 8263 11529 14823 23417 24789 34587 57841 70251 74367 103761 163919 173523 210753 223101 491757 504043 520569 632259 669303 1428437 1475271 1512129 1561707 1896777 2007909 3528301 4285311 4425813 4536387 4685121 5690331 9999059 10584903 12855933 13277439 13609161 14055363 29997177 31754709 38567799 39832317 40827483 89991531 95264127 115703397 122482449 193494671 269974593 285792381 347110191 580484013 809923779 857377143 1354462697 1741452039 2429771337 4063388091 5224356117 11803174931 12190164273 15673068351 35409524793 36570492819 47019205053 82622224517 106228574379 109711478457 247866673551 318685723137 329134435371 743600020653 956057169411 2230800061959 2868171508233 6692400185877 20077200557631