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69840838656 = 21334105253
BaseRepresentation
bin100000100001011010…
…1101010000000000000
320200021022212012120000
41001002311222000000
52121013223314111
652030123320000
75021502222261
oct1010265520000
9220238765500
1069840838656
112768a372876
1211651680000
13678048b844
143547824968
151c3b671c56
hex1042d6a000

69840838656 has 140 divisors (see below), whose sum is σ = 208649530122. Its totient is φ = 23280058368.

The previous prime is 69840838633. The next prime is 69840838667. The reversal of 69840838656 is 65683804896.

It can be written as a sum of positive squares in only one way, i.e., 68685926400 + 1154912256 = 262080^2 + 33984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 69840838593 and 69840838602.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 610926 + ... + 716178.

Almost surely, 269840838656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69840838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104324765061).

69840838656 is an abundant number, since it is smaller than the sum of its proper divisors (138808691466).

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

69840838656 is an equidigital number, since it uses as much as digits as its factorization.

69840838656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105291 (or 105258 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 69840838656 in words is "sixty-nine billion, eight hundred forty million, eight hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 18432 20736 24576 27648 36864 41472 55296 73728 82944 105253 110592 165888 210506 221184 315759 331776 421012 631518 663552 842024 947277 1263036 1684048 1894554 2526072 2841831 3368096 3789108 5052144 5683662 6736192 7578216 8525493 10104288 11367324 13472384 15156432 17050986 20208576 22734648 26944768 30312864 34101972 40417152 45469296 53889536 60625728 68203944 80834304 90938592 107779072 121251456 136407888 161668608 181877184 215558144 242502912 272815776 323337216 363754368 431116288 485005824 545631552 646674432 727508736 862232576 970011648 1091263104 1293348864 1455017472 1940023296 2182526208 2586697728 2910034944 3880046592 4365052416 5820069888 7760093184 8730104832 11640139776 17460209664 23280279552 34920419328 69840838656