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11653052885157 = 3192941698324623
BaseRepresentation
bin1010100110010011000000…
…0100111110100010100101
31112021000120021212112120010
42221210300010332202211
53011410423014311112
640441201045200433
72311622341132035
oct251446004764245
945230507775503
1011653052885157
113793039617342
121382533a00119
13666b554611a8
142c402179b8c5
151531c8e0a63c
hexa993013e8a5

11653052885157 has 64 divisors (see below), whose sum is σ = 17334980812800. Its totient is φ = 6931443617280.

The previous prime is 11653052885129. The next prime is 11653052885171. The reversal of 11653052885157 is 75158825035611.

It is a happy number.

It is not a de Polignac number, because 11653052885157 - 222 = 11653048690853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 11653052885097 and 11653052885106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11653052885857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 473246548 + ... + 473271170.

It is an arithmetic number, because the mean of its divisors is an integer number (270859075200).

Almost surely, 211653052885157 is an apocalyptic number.

It is an amenable number.

11653052885157 is a deficient number, since it is larger than the sum of its proper divisors (5681927927643).

11653052885157 is a wasteful number, since it uses less digits than its factorization.

11653052885157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31698.

The product of its (nonzero) digits is 10080000, while the sum is 57.

The spelling of 11653052885157 in words is "eleven trillion, six hundred fifty-three billion, fifty-two million, eight hundred eighty-five thousand, one hundred fifty-seven".

Divisors: 1 3 19 29 41 57 87 123 551 779 1189 1653 2337 3567 6983 20949 22591 24623 67773 73869 132677 202507 286303 398031 467837 607521 714067 858909 1009543 1403511 2142201 3028629 3847633 5439757 8302787 11542899 13567273 16319271 19181317 24908361 29276747 40701819 57543951 87830241 157752953 171942409 473258859 515827227 556258193 1668774579 3266905771 4986329861 7049638769 9800717313 14958989583 21148916307 94740267359 133943136611 204439524301 284220802077 401829409833 613318572903 3884350961719 11653052885157