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1155526102116 = 223297218472
BaseRepresentation
bin10000110100001010101…
…110010000110001100100
311002110121121020000100100
4100310022232100301210
5122413004140231431
62242501422344100
7146325004544121
oct20641256206144
94073547200310
101155526102116
114060683a6391
12167b4742b030
1384c7269a6b9
143dcdbac7748
15200d056e4e6
hex10d0ab90c64

1155526102116 has 81 divisors (see below), whose sum is σ = 2952934921209. Its totient is φ = 380998096128.

The previous prime is 1155526102063. The next prime is 1155526102123. The reversal of 1155526102116 is 6112016255511.

The square root of 1155526102116 is 1074954.

It is a perfect power (a square), and thus also a powerful number.

1155526102116 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 5 + 2 + 610 + 21 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 518875308900 + 636650793216 = 720330^2 + 797904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 625622305 + ... + 625624151.

Almost surely, 21155526102116 is an apocalyptic number.

1155526102116 is the 1074954-th square number.

It is an amenable number.

1155526102116 is an abundant number, since it is smaller than the sum of its proper divisors (1797408819093).

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

1155526102116 is an frugal number, since it uses more digits than its factorization.

1155526102116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

Multiplying 1155526102116 by its sum of digits (36), we get a square (41598939676176 = 64497242).

1155526102116 divided by its sum of digits (36) gives a square (32097947281 = 1791592).

The spelling of 1155526102116 in words is "one trillion, one hundred fifty-five billion, five hundred twenty-six million, one hundred two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 1847 3492 3694 5541 7388 9409 11082 16623 18818 22164 28227 33246 37636 56454 66492 84681 112908 169362 179159 338724 358318 537477 716636 1074954 1612431 2149908 3224862 3411409 6449724 6822818 10234227 13645636 17378423 20468454 30702681 34756846 40936908 52135269 61405362 69513692 104270538 122810724 156405807 208541076 312811614 330906673 625623228 661813346 992720019 1323626692 1985440038 2978160057 3970880076 5956320114 11912640228 32097947281 64195894562 96293841843 128391789124 192587683686 288881525529 385175367372 577763051058 1155526102116