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10849831000 = 235321151421
BaseRepresentation
bin10100001101011001…
…10100100001011000
31001000010212112002121
422012230310201120
5134210024043000
64552341311024
7532604020231
oct120654644130
931003775077
1010849831000
1146684a0688
122129705474
13103ba99858
1474cd80088
154377c9b1a
hex286b34858

10849831000 has 64 divisors (see below), whose sum is σ = 25509425760. Its totient is φ = 4319280000.

The previous prime is 10849830989. The next prime is 10849831021. The reversal of 10849831000 is 13894801.

It is a happy number.

It is a super-2 number, since 2×108498310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185290 + ... + 236710.

Almost surely, 210849831000 is an apocalyptic number.

10849831000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10849831000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12754712880).

10849831000 is an abundant number, since it is smaller than the sum of its proper divisors (14659594760).

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

10849831000 is a wasteful number, since it uses less digits than its factorization.

10849831000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51653 (or 51639 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 10849831000 in words is "ten billion, eight hundred forty-nine million, eight hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 211 250 422 500 844 1000 1055 1688 2110 4220 5275 8440 10550 21100 26375 42200 51421 52750 102842 105500 205684 211000 257105 411368 514210 1028420 1285525 2056840 2571050 5142100 6427625 10284200 10849831 12855250 21699662 25710500 43399324 51421000 54249155 86798648 108498310 216996620 271245775 433993240 542491550 1084983100 1356228875 2169966200 2712457750 5424915500 10849831000