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11505000655053 = 32127149461146539
BaseRepresentation
bin1010011101101011011101…
…1110100010100011001101
31111201212102021110222200100
42213122313132202203031
53001444220131430203
640245154020121313
72265131433006153
oct247326736424315
944655367428610
1011505000655053
113736274a31584
1213598b5536239
13655bbc59c8c9
142babb898b3d3
1514e411322ea3
hexa76b77a28cd

11505000655053 has 48 divisors (see below), whose sum is σ = 16898289408000. Its totient is φ = 7542088122240.

The previous prime is 11505000655039. The next prime is 11505000655103. The reversal of 11505000655053 is 35055600050511.

11505000655053 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 50 + 0 + 0 + 6 + 550 + 53 = 666.

It is not a de Polignac number, because 11505000655053 - 26 = 11505000654989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11505000654999 and 11505000655017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11505000655553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78438258 + ... + 78584796.

It is an arithmetic number, because the mean of its divisors is an integer number (352047696000).

Almost surely, 211505000655053 is an apocalyptic number.

It is an amenable number.

11505000655053 is a deficient number, since it is larger than the sum of its proper divisors (5393288752947).

11505000655053 is a wasteful number, since it uses less digits than its factorization.

11505000655053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147282 (or 147279 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 36.

The spelling of 11505000655053 in words is "eleven trillion, five hundred five billion, six hundred fifty-five thousand, fifty-three".

Divisors: 1 3 9 127 149 381 447 461 1143 1341 1383 4149 18923 56769 58547 68689 146539 170307 175641 206067 439617 526923 618201 1318851 8723503 18610453 21834311 26170509 55831359 65502933 67554479 78511527 167494077 196508799 202663437 607990311 2772957497 8318872491 8579418833 10065617371 24956617473 25738256499 30196852113 77214769497 90590556339 1278333406117 3835000218351 11505000655053