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10166235601104 = 2432116418078031
BaseRepresentation
bin1001001111110000001011…
…0111001001100011010000
31022222212211102211202110100
42103330002313021203100
52313030422303213404
633342145410532400
72066325536550462
oct223740267114320
938885742752410
1010166235601104
11326a526a66620
12118234b897100
1358989723172b
14272096c60132
151296a9055d39
hex93f02dc98d0

10166235601104 has 60 divisors (see below), whose sum is σ = 31037825362752. Its totient is φ = 3080677454400.

The previous prime is 10166235601097. The next prime is 10166235601111. The reversal of 10166235601104 is 40110653266101.

10166235601104 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 6 + 2 + 35 + 601 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10166235601097) and next prime (10166235601111).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3209037432 + ... + 3209040599.

Almost surely, 210166235601104 is an apocalyptic number.

It is an amenable number.

10166235601104 is an abundant number, since it is smaller than the sum of its proper divisors (20871589761648).

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

10166235601104 is a wasteful number, since it uses less digits than its factorization.

10166235601104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6418078056 (or 6418078047 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 10166235601104 its reverse (40110653266101), we get a palindrome (50276888867205).

The spelling of 10166235601104 in words is "ten trillion, one hundred sixty-six billion, two hundred thirty-five million, six hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 6418078031 12836156062 19254234093 25672312124 38508468186 51344624248 57762702279 70598858341 77016936372 102689248496 115525404558 141197716682 154033872744 211796575023 231050809116 282395433364 308067745488 423593150046 462101618232 564790866728 635389725069 847186300092 924203236464 1129581733456 1270779450138 1694372600184 2541558900276 3388745200368 5083117800552 10166235601104