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42069708072 = 2334743215689
BaseRepresentation
bin100111001011100011…
…001100110100101000
311000120220120121020000
4213023203030310220
51142124321124242
631154311503000
73016345422060
oct471343146450
9130526517200
1042069708072
1116929287387
1281a1087a60
133c75ac55b2
1420714103a0
151163568a4c
hex9cb8ccd28

42069708072 has 160 divisors (see below), whose sum is σ = 137800027200. Its totient is φ = 11740329216.

The previous prime is 42069708049. The next prime is 42069708077. The reversal of 42069708072 is 27080796024.

It is not an unprimeable number, because it can be changed into a prime (42069708077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87204 + ... + 302892.

It is an arithmetic number, because the mean of its divisors is an integer number (861250170).

Almost surely, 242069708072 is an apocalyptic number.

42069708072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42069708072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68900013600).

42069708072 is an abundant number, since it is smaller than the sum of its proper divisors (95730319128).

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

42069708072 is a wasteful number, since it uses less digits than its factorization.

42069708072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215757 (or 215744 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 42069708072 in words is "forty-two billion, sixty-nine million, seven hundred eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 81 84 86 108 126 129 162 168 172 189 216 252 258 301 324 344 378 387 504 516 567 602 648 756 774 903 1032 1134 1161 1204 1512 1548 1806 2268 2322 2408 2709 3096 3483 3612 4536 4644 5418 6966 7224 8127 9288 10836 13932 16254 21672 24381 27864 32508 48762 65016 97524 195048 215689 431378 647067 862756 1294134 1509823 1725512 1941201 2588268 3019646 3882402 4529469 5176536 5823603 6039292 7764804 9058938 9274627 11647206 12078584 13588407 15529608 17470809 18117876 18549254 23294412 27176814 27823881 34941618 36235752 37098508 40765221 46588824 54353628 55647762 64922389 69883236 74197016 81530442 83471643 108707256 111295524 122295663 129844778 139766472 163060884 166943286 194767167 222591048 244591326 250414929 259689556 326121768 333886572 389534334 489182652 500829858 519379112 584301501 667773144 751244787 779068668 978365304 1001659716 1168603002 1502489574 1558137336 1752904503 2003319432 2337206004 3004979148 3505809006 4674412008 5258713509 6009958296 7011618012 10517427018 14023236024 21034854036 42069708072