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10184831040 = 263512783537
BaseRepresentation
bin10010111110001000…
…00011000001000000
3222021210120000122110
421133010003001000
5131324304043130
64402344135320
7510250430646
oct113704030100
928253500573
1010184831040
11435708733a
121b82a67540
13c64093257
146c8917196
153e921cab0
hex25f103040

10184831040 has 112 divisors (see below), whose sum is σ = 32591849472. Its totient is φ = 2694537216.

The previous prime is 10184831039. The next prime is 10184831071. The reversal of 10184831040 is 4013848101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10184830989 and 10184831007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80152 + ... + 163688.

It is an arithmetic number, because the mean of its divisors is an integer number (290998656).

Almost surely, 210184831040 is an apocalyptic number.

10184831040 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 10184831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16295924736).

10184831040 is an abundant number, since it is smaller than the sum of its proper divisors (22407018432).

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

10184831040 is a wasteful number, since it uses less digits than its factorization.

10184831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83684 (or 83674 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 10184831040 in words is "ten billion, one hundred eighty-four million, eight hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 160 192 240 254 320 381 480 508 635 762 960 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 7620 8128 10160 12192 15240 20320 24384 30480 40640 60960 83537 121920 167074 250611 334148 417685 501222 668296 835370 1002444 1253055 1336592 1670740 2004888 2506110 2673184 3341480 4009776 5012220 5346368 6682960 8019552 10024440 10609199 13365920 16039104 20048880 21218398 26731840 31827597 40097760 42436796 53045995 63655194 80195520 84873592 106091990 127310388 159137985 169747184 212183980 254620776 318275970 339494368 424367960 509241552 636551940 678988736 848735920 1018483104 1273103880 1697471840 2036966208 2546207760 3394943680 5092415520 10184831040