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1187483140089 = 321722329292
BaseRepresentation
bin10001010001111011100…
…000101011111111111001
311012112002202000202010100
4101101323200223333321
5123423431140440324
62305304444510013
7151535640102051
oct21217340537771
94175082022110
101187483140089
11418677302a74
1217218584b309
1387c9634701c
1441690006561
1520d50dc14c9
hex1147b82bff9

1187483140089 has 81 divisors (see below), whose sum is σ = 1906803868333. Its totient is φ = 711925192704.

The previous prime is 1187483140057. The next prime is 1187483140093. The reversal of 1187483140089 is 9800413847811.

The square root of 1187483140089 is 1089717.

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

1187483140089 is a `hidden beast` number, since 1 + 1 + 87 + 4 + 83 + 1 + 400 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140119205625 + 1047363934464 = 374325^2 + 1023408^2 .

It is not a de Polignac number, because 1187483140089 - 25 = 1187483140057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1187483140009) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1278237577 + ... + 1278238505.

Almost surely, 21187483140089 is an apocalyptic number.

1187483140089 is the 1089717-th square number.

1187483140089 is the 544859-th centered octagonal number.

It is an amenable number.

1187483140089 is a deficient number, since it is larger than the sum of its proper divisors (719320728244).

1187483140089 is an frugal number, since it uses more digits than its factorization.

1187483140089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 1187483140089 in words is "one trillion, one hundred eighty-seven billion, four hundred eighty-three million, one hundred forty thousand, eighty-nine".

Divisors: 1 3 9 17 23 51 69 153 207 289 391 529 867 929 1173 1587 2601 2787 3519 4761 6647 8361 8993 15793 19941 21367 26979 47379 59823 64101 80937 142137 152881 192303 268481 363239 458643 491441 805443 863041 1089717 1375929 1474323 2416329 2589123 3269151 4422969 6175063 7767369 8354497 14671697 18525189 19849943 25063491 44015091 55575567 59549829 75190473 132045273 142026449 178649487 249418849 337449031 426079347 456548689 748256547 1012347093 1278238041 1369646067 2244769641 3037041279 4108938201 5736633527 7761327713 17209900581 23283983139 51629701743 69851949417 131942571121 395827713363 1187483140089