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13866004516 = 22721326472
BaseRepresentation
bin11001110100111101…
…00111000000100100
31022210100100000022211
430322132213000210
5211344144121031
610211524333204
71000420044100
oct147236470044
938710300284
1013866004516
115975aa8471
12282b844204
1313cc924900
14957796900
155624b5bb1
hex33a7a7024

13866004516 has 81 divisors (see below), whose sum is σ = 30612888369. Its totient is φ = 5476974048.

The previous prime is 13866004513. The next prime is 13866004543. The reversal of 13866004516 is 61540066831.

The square root of 13866004516 is 117754.

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

It can be written as a sum of positive squares in only one way, i.e., 2051184100 + 11814820416 = 45290^2 + 108696^2 .

It is not an unprimeable number, because it can be changed into a prime (13866004513) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21430905 + ... + 21431551.

Almost surely, 213866004516 is an apocalyptic number.

13866004516 is the 117754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13866004516

13866004516 is an abundant number, since it is smaller than the sum of its proper divisors (16746883853).

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

13866004516 is an equidigital number, since it uses as much as digits as its factorization.

13866004516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 13866004516 in words is "thirteen billion, eight hundred sixty-six million, four thousand, five hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 647 676 1183 1274 1294 2366 2548 2588 4529 4732 8281 8411 9058 16562 16822 18116 31703 33124 33644 58877 63406 109343 117754 126812 218686 235508 412139 418609 437372 765401 824278 837218 1530802 1648556 1674436 2930263 3061604 5357807 5441917 5860526 10715614 10883834 11721052 20511841 21431228 21767668 38093419 41023682 70744921 76186838 82047364 141489842 152373676 266653933 282979684 495214447 533307866 990428894 1066615732 1980857788 3466501129 6933002258 13866004516