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20354632125645 = 35371012511446689
BaseRepresentation
bin1001010000011001011101…
…00111100000110011001101
32200001212212022101001211210
410220030232213200303031
510131442241311010040
6111142442223205033
74200400521243426
oct450145647406315
980055768331753
1020354632125645
1165383952109a4
122348a45146779
13b48583739cbc
14505252d9064d
1525470d8c6480
hex12832e9e0ccd

20354632125645 has 64 divisors (see below), whose sum is σ = 33913376421120. Its totient is φ = 10416153600000.

The previous prime is 20354632125601. The next prime is 20354632125689. The reversal of 20354632125645 is 54652123645302.

It is an interprime number because it is at equal distance from previous prime (20354632125601) and next prime (20354632125689).

It is not a de Polignac number, because 20354632125645 - 216 = 20354632060109 is a prime.

It is a super-3 number, since 3×203546321256453 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20354632125594 and 20354632125603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13346461 + ... + 14793149.

It is an arithmetic number, because the mean of its divisors is an integer number (529896506580).

Almost surely, 220354632125645 is an apocalyptic number.

It is an amenable number.

20354632125645 is a deficient number, since it is larger than the sum of its proper divisors (13558744295475).

20354632125645 is a wasteful number, since it uses less digits than its factorization.

20354632125645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447086.

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

The spelling of 20354632125645 in words is "twenty trillion, three hundred fifty-four billion, six hundred thirty-two million, one hundred twenty-five thousand, six hundred forty-five".

Divisors: 1 3 5 15 37 101 111 185 251 303 505 555 753 1255 1515 3737 3765 9287 11211 18685 25351 27861 46435 56055 76053 126755 139305 380265 937987 1446689 2813961 4340067 4689935 7233445 14069805 21700335 53527493 146115589 160582479 267637465 363118939 438346767 730577945 802912395 1089356817 1815594695 2191733835 5406276793 5446784085 13435400743 16218830379 27031383965 36675012839 40306202229 67177003715 81094151895 110025038517 183375064195 201531011145 550125192585 1356975475043 4070926425129 6784877375215 20354632125645