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71021908629 = 32719267127367
BaseRepresentation
bin100001000100100111…
…1000101001010010101
320210022122020202222100
41002021033011022111
52130423102034004
652343233552313
75062663156050
oct1021117051225
9223278222870
1071021908629
112813601a161
1211921115699
13690b085909
14361a627a97
151caa1bd739
hex10893c5295

71021908629 has 144 divisors (see below), whose sum is σ = 126918524928. Its totient is φ = 37473492672.

The previous prime is 71021908621. The next prime is 71021908651. The reversal of 71021908629 is 92680912017.

71021908629 is a `hidden beast` number, since 7 + 1 + 0 + 2 + 19 + 0 + 8 + 629 = 666.

It is not a de Polignac number, because 71021908629 - 23 = 71021908621 is a prime.

It is a super-2 number, since 2×710219086292 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71021908621) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 193520004 + ... + 193520370.

Almost surely, 271021908629 is an apocalyptic number.

It is an amenable number.

71021908629 is a deficient number, since it is larger than the sum of its proper divisors (55896616299).

71021908629 is a wasteful number, since it uses less digits than its factorization.

71021908629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 71021908629 in words is "seventy-one billion, twenty-one million, nine hundred eight thousand, six hundred twenty-nine".

Divisors: 1 3 7 9 19 21 57 63 67 127 133 171 201 361 367 381 399 469 603 889 1083 1101 1143 1197 1273 1407 2413 2527 2569 2667 3249 3303 3819 4221 6973 7239 7581 7707 8001 8509 8911 11457 16891 20919 21717 22743 23121 24187 24589 25527 26733 45847 46609 48811 50673 59563 62757 72561 73767 76581 80199 132487 137541 139827 146433 152019 161671 169309 172123 178689 217683 221301 320929 326263 397461 412623 419481 439299 467191 485013 507927 516369 536067 885571 927409 962787 978789 1131697 1192383 1401573 1455039 1523781 1549107 2656713 2782227 2888361 2936367 3071749 3122803 3270337 3395091 4204719 6198997 7970139 8346681 8876629 9215247 9368409 9811011 10185273 16825849 18596991 21502243 21859621 26629887 27645741 28105227 29433033 50477547 55790973 59333257 62136403 64506729 65578863 79889661 117780943 151432641 177999771 186409209 193520187 196736589 353342829 415332799 533999313 559227627 1060028487 1127331883 1245998397 3381995649 3737995191 7891323181 10145986947 23673969543 71021908629