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268276284430 = 257113742122367
BaseRepresentation
bin1111100111011010000…
…0110011110000001110
3221122110122011022010121
43321312200303300032
513343412212100210
6323124443455154
725245064535560
oct3716640636016
9848418138117
10268276284430
11a3858a72250
1243bb12274ba
131c3b560588b
14cdadbdb330
156ea25996da
hex3e76833c0e

268276284430 has 128 divisors (see below), whose sum is σ = 619821932544. Its totient is φ = 81161740800.

The previous prime is 268276284403. The next prime is 268276284431. The reversal of 268276284430 is 34482672862.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268276284431) 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, 11983107 + ... + 12005473.

It is an arithmetic number, because the mean of its divisors is an integer number (4842358848).

Almost surely, 2268276284430 is an apocalyptic number.

268276284430 is an abundant number, since it is smaller than the sum of its proper divisors (351545648114).

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

268276284430 is a wasteful number, since it uses less digits than its factorization.

268276284430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22850.

The product of its (nonzero) digits is 6193152, while the sum is 52.

The spelling of 268276284430 in words is "two hundred sixty-eight billion, two hundred seventy-six million, two hundred eighty-four thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 37 55 70 74 77 110 154 185 259 370 385 407 421 518 770 814 842 1295 2035 2105 2590 2849 2947 4070 4210 4631 5698 5894 9262 14245 14735 15577 22367 23155 28490 29470 31154 32417 44734 46310 64834 77885 109039 111835 155770 156569 162085 171347 218078 223670 246037 313138 324170 342694 492074 545195 782845 827579 856735 1090390 1199429 1230185 1565690 1655158 1713470 1722259 2398858 2460370 3444518 4137895 5793053 5997145 8275790 8611295 9103369 9416507 11586106 11994290 17222590 18206738 18833014 28965265 45516845 47082535 57930530 63723583 65915549 91033690 94165070 103581577 127447166 131831098 207163154 318617915 329577745 348410759 517907885 637235830 659155490 696821518 725071039 1035815770 1450142078 1742053795 2438875313 3484107590 3625355195 3832518349 4877750626 7250710390 7665036698 12194376565 19162591745 24388753130 26827628443 38325183490 53655256886 134138142215 268276284430