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20957343940827 = 327738387762603
BaseRepresentation
bin1001100001111100000110…
…00010101000000011011011
32202012111120022222121102100
410300332003002220003123
510221331120022101302
6112323400525134443
74262055343164240
oct460760302500333
982174508877370
1020957343940827
11674aa61330368
1224258100ba423
13b90366159a78
145264ab4615c7
1526523685ed1c
hex130f830a80db

20957343940827 has 96 divisors (see below), whose sum is σ = 35533741920768. Its totient is φ = 11655775231488.

The previous prime is 20957343940727. The next prime is 20957343940837. The reversal of 20957343940827 is 72804934375902.

20957343940827 is a `hidden beast` number, since 2 + 0 + 9 + 573 + 4 + 39 + 4 + 0 + 8 + 27 = 666.

It is not a de Polignac number, because 20957343940827 - 27 = 20957343940699 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20957343940837) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 334734508 + ... + 334797110.

It is an arithmetic number, because the mean of its divisors is an integer number (370143145008).

Almost surely, 220957343940827 is an apocalyptic number.

20957343940827 is a deficient number, since it is larger than the sum of its proper divisors (14576397979941).

20957343940827 is a wasteful number, since it uses less digits than its factorization.

20957343940827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63649 (or 63646 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 20957343940827 in words is "twenty trillion, nine hundred fifty-seven billion, three hundred forty-three million, nine hundred forty thousand, eight hundred twenty-seven".

Divisors: 1 3 7 9 21 63 73 83 219 249 511 581 657 747 877 1533 1743 2631 4599 5229 6059 6139 7893 18177 18417 42413 54531 55251 62603 64021 72791 127239 187809 192063 218373 381717 438221 448147 509537 563427 576189 655119 1314663 1344441 1528611 3943989 4033323 4570019 4585833 5196049 5313743 13710057 15588147 15941229 31990133 36372343 37196201 41130171 46764441 47823687 54902831 95970399 109117029 111588603 164708493 287911197 327351087 334765809 379311577 384319817 494125479 1137934731 1152959451 2655181039 3413804193 3458878353 4007906663 4556934973 7965543117 12023719989 13670804919 23896629351 28055346641 31898544811 36071159967 41012414757 84166039923 95695634433 252498119769 287086903299 332656253029 997968759087 2328593771203 2993906277261 6985781313609 20957343940827