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9149020104 = 23374158771
BaseRepresentation
bin10001000010101001…
…01111011111001000
3212121121111101011110
420201110233133020
5122214122120404
64111503130320
7442502250000
oct104124573710
925547441143
109149020104
113975424244
121933ba39a0
13b2a5c8183
1462b127000
15388315b89
hex22152f7c8

9149020104 has 80 divisors (see below), whose sum is σ = 26683222320. Its totient is φ = 2613989280.

The previous prime is 9149020093. The next prime is 9149020117. The reversal of 9149020104 is 4010209419.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21762 + ... + 137009.

It is an arithmetic number, because the mean of its divisors is an integer number (333540279).

Almost surely, 29149020104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9149020104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13341611160).

9149020104 is an abundant number, since it is smaller than the sum of its proper divisors (17534202216).

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

9149020104 is a wasteful number, since it uses less digits than its factorization.

9149020104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158808 (or 158783 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9149020104 is about 95650.5102129623. The cubic root of 9149020104 is about 2091.5015654139.

The spelling of 9149020104 in words is "nine billion, one hundred forty-nine million, twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2401 2744 4116 4802 7203 8232 9604 14406 19208 28812 57624 158771 317542 476313 635084 952626 1111397 1270168 1905252 2222794 3334191 3810504 4445588 6668382 7779779 8891176 13336764 15559558 23339337 26673528 31119116 46678674 54458453 62238232 93357348 108916906 163375359 186714696 217833812 326750718 381209171 435667624 653501436 762418342 1143627513 1307002872 1524836684 2287255026 3049673368 4574510052 9149020104