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26057146105152 = 263429173326057
BaseRepresentation
bin1011110110010111001101…
…11011111111110101000000
310102021001001022110222120000
411323023212323333311000
511403410013400331102
6131230253200320000
75326365241303461
oct573134673776500
9112231038428500
1026057146105152
118336856739068
122b0a071613000
131170241a53626
1466125b88ad68
15302c15c3d01c
hex17b2e6effd40

26057146105152 has 140 divisors (see below), whose sum is σ = 79905045998580. Its totient is φ = 8386207893504.

The previous prime is 26057146105127. The next prime is 26057146105213. The reversal of 26057146105152 is 25150164175062.

26057146105152 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 7 + 14 + 610 + 5 + 15 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15398906132736 + 10658239972416 = 3924144^2 + 3264696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 26057146105098 and 26057146105107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86512693 + ... + 86813364.

Almost surely, 226057146105152 is an apocalyptic number.

It is an amenable number.

26057146105152 is an abundant number, since it is smaller than the sum of its proper divisors (53847899893428).

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

26057146105152 is a wasteful number, since it uses less digits than its factorization.

26057146105152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173326110 (or 173326091 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 26057146105152 in words is "twenty-six trillion, fifty-seven billion, one hundred forty-six million, one hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 348 432 464 522 576 648 696 783 864 928 1044 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 4176 4698 5184 5568 6264 8352 9396 12528 16704 18792 25056 37584 50112 75168 150336 173326057 346652114 519978171 693304228 1039956342 1386608456 1559934513 2079912684 2773216912 3119869026 4159825368 4679803539 5026455653 5546433824 6239738052 8319650736 9359607078 10052911306 11092867648 12479476104 14039410617 15079366959 16639301472 18719214156 20105822612 24958952208 28078821234 30158733918 33278602944 37438428312 40211645224 45238100877 49917904416 56157642468 60317467836 74876856624 80423290448 90476201754 99835808832 112315284936 120634935672 135714302631 149753713248 160846580896 180952403508 224630569872 241269871344 271428605262 299507426496 321693161792 361904807016 407142907893 449261139744 482539742688 542857210524 723809614032 814285815786 898522279488 965079485376 1085714421048 1447619228064 1628571631572 2171428842096 2895238456128 3257143263144 4342857684192 6514286526288 8685715368384 13028573052576 26057146105152