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42929704346694 = 2311331280161909
BaseRepresentation
bin10011100001011010110011…
…10001110010010001000110
312122000001001220112002210120
421300231121301302101012
521111330013303043234
6231145344532002410
712020366044104144
oct1160553161622106
9178001056462716
1042929704346694
1112751426a24000
124994093160406
131ac533b644829
14a85b473d8594
154e6a77dee049
hex270b59c72446

42929704346694 has 128 divisors (see below), whose sum is σ = 97521693880320. Its totient is φ = 12584658240000.

The previous prime is 42929704346693. The next prime is 42929704346713. The reversal of 42929704346694 is 49664340792924.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42929704346693) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 693401412 + ... + 693463320.

It is an arithmetic number, because the mean of its divisors is an integer number (761888233440).

Almost surely, 242929704346694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42929704346694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48760846940160).

42929704346694 is an abundant number, since it is smaller than the sum of its proper divisors (54591989533626).

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

42929704346694 is a wasteful number, since it uses less digits than its factorization.

42929704346694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64779 (or 64757 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 69.

The spelling of 42929704346694 in words is "forty-two trillion, nine hundred twenty-nine billion, seven hundred four million, three hundred forty-six thousand, six hundred ninety-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 1331 2046 2662 2801 3751 3993 5602 7502 7986 8403 11253 16806 22506 30811 41261 61622 61909 82522 86831 92433 123783 123818 173662 184866 185727 247566 260493 338921 371454 520986 677842 680999 955141 1016763 1361998 1910282 1919179 2033526 2042997 2865423 3728131 3838358 4085994 5730846 5757537 7456262 7490989 10506551 11184393 11515074 14981978 21013102 21110969 22368786 22472967 31519653 42221938 44945934 63039306 63332907 82400879 115572061 126665814 164801758 173407109 231144122 232220659 247202637 346716183 346814218 464441318 494405274 520221327 693432366 696661977 1040442654 1393323954 1907478199 2554427249 3814956398 5108854498 5375620379 5722434597 7663281747 10751240758 11444869194 15326563494 16126861137 20982260189 32253722274 41964520378 59131824169 62946780567 118263648338 125893561134 177395472507 230804862079 354790945014 461609724158 650450065859 692414586237 1300900131718 1384829172474 1951350197577 3902700395154 7154950724449 14309901448898 21464852173347 42929704346694