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83929069969668 = 2232711104632893763
BaseRepresentation
bin10011000101010101000010…
…011001101110000100000100
3102000011112121012011211220200
4103011111002121232010010
542000043213403012133
6454300252113530500
723451450410612220
oct2305250231560404
9360145535154820
1083929069969668
1124819133a76130
1294b6023873a30
1337aa628933bb1
1416a228d985780
159a82c3823913
hex4c554266e104

83929069969668 has 144 divisors (see below), whose sum is σ = 264529106989056. Its totient is φ = 21797667391680.

The previous prime is 83929069969621. The next prime is 83929069969669. The reversal of 83929069969668 is 86696996092938.

83929069969668 is a `hidden beast` number, since 8 + 39 + 290 + 69 + 96 + 96 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (83929069969669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27556555 + ... + 30450317.

It is an arithmetic number, because the mean of its divisors is an integer number (1837007687424).

Almost surely, 283929069969668 is an apocalyptic number.

It is an amenable number.

83929069969668 is an abundant number, since it is smaller than the sum of its proper divisors (180600037019388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83929069969668 is a wasteful number, since it uses less digits than its factorization.

83929069969668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904254 (or 2904249 counting only the distinct ones).

The product of its (nonzero) digits is 29386561536, while the sum is 90.

The spelling of 83929069969668 in words is "eighty-three trillion, nine hundred twenty-nine billion, sixty-nine million, nine hundred sixty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 10463 20926 31389 41852 62778 73241 94167 115093 125556 146482 188334 219723 230186 292964 345279 376668 439446 460372 659169 690558 805651 878892 1035837 1318338 1381116 1611302 2071674 2416953 2636676 2893763 3222604 4143348 4833906 5787526 7250859 8681289 9667812 11575052 14501718 17362578 20256341 26043867 29003436 31831393 34725156 40512682 52087734 60769023 63662786 81025364 95494179 104175468 121538046 127325572 182307069 190988358 222819751 243076092 286482537 364614138 381976716 445639502 572965074 668459253 729228276 891279004 1145930148 1336918506 2005377759 2673837012 4010755518 8021511036 30277442269 60554884538 90832326807 121109769076 181664653614 211942095883 272496980421 333051864959 363329307228 423884191766 544993960842 635826287649 666103729918 847768383532 999155594877 1089987921684 1271652575298 1332207459836 1907478862947 1998311189754 2331363054713 2543305150596 2997466784631 3814957725894 3996622379508 4662726109426 5994933569262 6994089164139 7629915451788 9325452218852 11989867138524 13988178328278 20982267492417 27976356656556 41964534984834 83929069969668