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20557108341 = 347114376651
BaseRepresentation
bin10011001001010011…
…001001010001110101
31222001122211022020000
4103021103021101311
5314100104431331
613235510101513
71325265352320
oct231123112165
958048738200
1020557108341
118799a51840
123b9864a899
131c27c36743
14dd02a57b7
15804b150e6
hex4c94c9475

20557108341 has 80 divisors (see below), whose sum is σ = 39177143808. Its totient is φ = 10430532000.

The previous prime is 20557108333. The next prime is 20557108361. The reversal of 20557108341 is 14380175502.

20557108341 is a `hidden beast` number, since 2 + 0 + 5 + 571 + 0 + 83 + 4 + 1 = 666.

It is not a de Polignac number, because 20557108341 - 23 = 20557108333 is a prime.

It is a super-2 number, since 2×205571083412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20557108296 and 20557108305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20557108361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 229866 + ... + 306516.

Almost surely, 220557108341 is an apocalyptic number.

20557108341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20557108341 is a deficient number, since it is larger than the sum of its proper divisors (18620035467).

20557108341 is a wasteful number, since it uses less digits than its factorization.

20557108341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76724 (or 76715 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 20557108341 in words is "twenty billion, five hundred fifty-seven million, one hundred eight thousand, three hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 43 63 77 81 99 129 189 231 297 301 387 473 567 693 891 903 1161 1419 2079 2709 3311 3483 4257 6237 8127 9933 12771 24381 29799 38313 76651 89397 229953 268191 536557 689859 843161 1609671 2069577 2529483 3295993 4829013 5902127 6208731 7588449 9887979 14487039 17706381 22765347 23071951 29663937 36255923 43461117 53119143 68296041 69215853 88991811 108767769 159357429 207647559 253791461 266975433 326303307 478072287 622942677 761374383 978909921 1868828031 2284123149 2936729763 6852369447 20557108341