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10683896316129 = 32832131272
BaseRepresentation
bin1001101101111000100111…
…0110000100000011100001
31101211101000002210202020100
42123132021312010003201
52400021104424104004
634420040400333013
72151612624203211
oct233361166040341
941741002722210
1010683896316129
11344a018a3a673
12124673b314169
135c6644208a2a
1428d1637d2241
15137da5373739
hex9b789d840e1

10683896316129 has 27 divisors (see below), whose sum is σ = 15621656115793. Its totient is φ = 7036247061672.

The previous prime is 10683896316047. The next prime is 10683896316143. The reversal of 10683896316129 is 92161369838601.

The square root of 10683896316129 is 3268623.

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

10683896316129 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 3 + 8 + 9 + 6 + 3 + 1 + 612 + 9 = 666.

It is a de Polignac number, because none of the positive numbers 2k-10683896316129 is a prime.

It is a super-2 number, since 2×106838963161292 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10683896316169) 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, 813880564 + ... + 813893690.

Almost surely, 210683896316129 is an apocalyptic number.

10683896316129 is the 3268623-rd square number.

10683896316129 is the 1634312-nd centered octagonal number.

It is an amenable number.

10683896316129 is a deficient number, since it is larger than the sum of its proper divisors (4937759799664).

10683896316129 is an frugal number, since it uses more digits than its factorization.

10683896316129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26426 (or 13213 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 10683896316129 in words is "ten trillion, six hundred eighty-three billion, eight hundred ninety-six million, three hundred sixteen thousand, one hundred twenty-nine".

Divisors: 1 3 9 83 249 747 6889 13127 20667 39381 62001 118143 1089541 3268623 9805869 90431903 172318129 271295709 516954387 813887127 1550863161 14302404707 42907214121 128721642363 1187099590681 3561298772043 10683896316129