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87741199917 = 3372232883473
BaseRepresentation
bin101000110110111001…
…0000111011000101101
322101110211112202221000
41101231302013120231
52414143221344132
6104150250230513
76224210615400
oct1215562073055
9271424482830
1087741199917
1134235690168
1215008425439
138373b73b97
144364d15d37
152437de787c
hex146dc8762d

87741199917 has 48 divisors (see below), whose sum is σ = 157783697280. Its totient is φ = 47957906304.

The previous prime is 87741199907. The next prime is 87741199937. The reversal of 87741199917 is 71999114778.

It is not a de Polignac number, because 87741199917 - 216 = 87741134381 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87741199907) 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 47 ways as a sum of consecutive naturals, for example, 1411308 + ... + 1472165.

It is an arithmetic number, because the mean of its divisors is an integer number (3287160360).

Almost surely, 287741199917 is an apocalyptic number.

It is an amenable number.

87741199917 is a deficient number, since it is larger than the sum of its proper divisors (70042497363).

87741199917 is a wasteful number, since it uses less digits than its factorization.

87741199917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883519 (or 2883506 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 63.

The spelling of 87741199917 in words is "eighty-seven billion, seven hundred forty-one million, one hundred ninety-nine thousand, nine hundred seventeen".

Divisors: 1 3 7 9 21 23 27 49 63 69 147 161 189 207 441 483 621 1127 1323 1449 3381 4347 10143 30429 2883473 8650419 20184311 25951257 60552933 66319879 77853771 141290177 181658799 198959637 423870531 464239153 544976397 596878911 1271611593 1392717459 1790636733 3249674071 3814834779 4178152377 9749022213 12534457131 29247066639 87741199917