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20257246955169 = 3373110945237013
BaseRepresentation
bin1001001101100100000100…
…00000100100011010100001
32122201120111100222211101000
410212302002000210122201
510123343320210031134
6111030014545102213
74160352315041550
oct446620200443241
978646440884330
1020257246955169
116500060889a34
122331ba7027969
13b3c333893383
14500655311d97
15251e0deeae99
hex126c820246a1

20257246955169 has 128 divisors (see below), whose sum is σ = 35742176870400. Its totient is φ = 11095355738880.

The previous prime is 20257246955123. The next prime is 20257246955177. The reversal of 20257246955169 is 96155964275202.

20257246955169 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 7 + 2 + 469 + 5 + 5 + 169 = 666.

It is not a de Polignac number, because 20257246955169 - 217 = 20257246824097 is a prime.

It is a super-2 number, since 2×202572469551692 (a number of 27 digits) contains 22 as substring.

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 (20257246935169) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2888524507 + ... + 2888531519.

It is an arithmetic number, because the mean of its divisors is an integer number (279235756800).

Almost surely, 220257246955169 is an apocalyptic number.

It is an amenable number.

20257246955169 is a deficient number, since it is larger than the sum of its proper divisors (15484929915231).

20257246955169 is a wasteful number, since it uses less digits than its factorization.

20257246955169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11692 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 20257246955169 in words is "twenty trillion, two hundred fifty-seven billion, two hundred forty-six million, nine hundred fifty-five thousand, one hundred sixty-nine".

Divisors: 1 3 7 9 21 27 31 63 93 109 189 217 279 327 651 763 837 981 1953 2289 2943 3379 4523 5859 6867 7013 10137 13569 20601 21039 23653 30411 31661 40707 49091 63117 70959 91233 94983 122121 140213 147273 189351 212877 217403 284949 420639 441819 493007 638631 652209 764417 854847 981491 1261917 1325457 1479021 1521821 1956627 2293251 2944473 3451049 3785751 4437063 4565463 5350919 5869881 6879753 8833419 10353147 13311189 13696389 15283217 16052757 20639259 23696927 26500257 31059441 31719799 41089167 45849651 48158271 71090781 93178323 95159397 106982519 137548953 144474813 165878489 213272343 222038593 285478191 320947557 412646859 497635467 639817029 666115779 856434573 962842671 983313769 1492906401 1998347337 2888528013 2949941307 3457458091 4478719203 5995042011 6883196383 8849823921 10372374273 20649589149 24202206637 26549471763 31117122819 61948767447 72606619911 93351368457 107181200821 185846302341 217819859733 321543602463 653459579199 750268405747 964630807389 2250805217241 2893892422167 6752415651723 20257246955169