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10453475900 = 2252731736599
BaseRepresentation
bin10011011110001001…
…10110001000111100
3222222112001121010002
421233010312020330
5132402042212100
64445142133432
7520022036060
oct115704661074
928875047102
1010453475900
11448479518a
122038a21278
13ca79332ca
14712487aa0
15412ad62d5
hex26f13623c

10453475900 has 144 divisors (see below), whose sum is σ = 27131596800. Its totient is φ = 3420403200.

The previous prime is 10453475891. The next prime is 10453475909. The reversal of 10453475900 is 957435401.

10453475900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10453475891) and next prime (10453475909).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10453475909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1580801 + ... + 1587399.

Almost surely, 210453475900 is an apocalyptic number.

10453475900 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 10453475900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13565798400).

10453475900 is an abundant number, since it is smaller than the sum of its proper divisors (16678120900).

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

10453475900 is a wasteful number, since it uses less digits than its factorization.

10453475900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 10453475900 in words is "ten billion, four hundred fifty-three million, four hundred seventy-five thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 73 100 124 140 146 155 175 217 292 310 350 365 434 511 620 700 730 775 868 1022 1085 1460 1550 1825 2044 2170 2263 2555 3100 3650 4340 4526 5110 5425 6599 7300 9052 10220 10850 11315 12775 13198 15841 21700 22630 25550 26396 31682 32995 45260 46193 51100 56575 63364 65990 79205 92386 113150 131980 158410 164975 184772 204569 226300 230965 316820 329950 396025 409138 461930 481727 659900 792050 818276 923860 963454 1022845 1154825 1431983 1584100 1926908 2045690 2309650 2408635 2863966 3372089 4091380 4619300 4817270 5114225 5727932 6744178 7159915 9634540 10228450 12043175 13488356 14319830 14933537 16860445 20456900 24086350 28639660 29867074 33720890 35799575 48172700 59734148 67441780 71599150 74667685 84302225 104534759 143198300 149335370 168604450 209069518 298670740 337208900 373338425 418139036 522673795 746676850 1045347590 1493353700 2090695180 2613368975 5226737950 10453475900