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268274298496 = 27171631933919
BaseRepresentation
bin1111100111011001100…
…1001110111010000000
3221122110111102101221111
43321312121032322000
513343411210022441
6323124333133104
725245041624641
oct3716631167200
9848414371844
10268274298496
11a3857936186
1243bb062a194
131c3b508b979
14cdad8416c8
156ea2306081
hex3e7664ee80

268274298496 has 128 divisors (see below), whose sum is σ = 572458924800. Its totient is φ = 124790243328.

The previous prime is 268274298463. The next prime is 268274298511. The reversal of 268274298496 is 694892472862.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68452825 + ... + 68456743.

It is an arithmetic number, because the mean of its divisors is an integer number (4472335350).

Almost surely, 2268274298496 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 268274298496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286229462400).

268274298496 is an abundant number, since it is smaller than the sum of its proper divisors (304184626304).

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

268274298496 is a wasteful number, since it uses less digits than its factorization.

268274298496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306 (or 4294 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 67.

The spelling of 268274298496 in words is "two hundred sixty-eight billion, two hundred seventy-four million, two hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 163 193 272 326 386 544 652 772 1088 1304 1544 2176 2608 2771 3088 3281 3919 5216 5542 6176 6562 7838 10432 11084 12352 13124 15676 20864 22168 24704 26248 31352 31459 44336 52496 62704 62918 66623 88672 104992 125408 125836 133246 177344 209984 250816 251672 266492 354688 419968 501632 503344 532984 534803 638797 756367 1006688 1065968 1069606 1277594 1512734 2013376 2131936 2139212 2555188 3025468 4026752 4263872 4278424 5110376 6050936 8527744 8556848 10220752 10859549 12101872 12858239 17113696 20441504 21719098 24203744 25716478 34227392 40883008 43438196 48407488 51432956 68454784 81766016 86876392 96814976 102865912 123287821 173752784 205731824 246575642 347505568 411463648 493151284 695011136 822927296 986302568 1390022272 1645854592 1972605136 2095892957 3945210272 4191785914 7890420544 8383571828 15780841088 16767143656 33534287312 67068574624 134137149248 268274298496