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21415453000 = 235361569617
BaseRepresentation
bin10011111100011101…
…011110000101001000
32001021110221201201221
4103330131132011020
5322324323444000
613501011251424
71355460230014
oct237435360510
961243851657
1021415453000
11909a512897
124197ba9b74
132033a06ca6
14107229b544
1585516461a
hex4fc75e148

21415453000 has 128 divisors (see below), whose sum is σ = 51105880800. Its totient is φ = 8397312000.

The previous prime is 21415452991. The next prime is 21415453021. The reversal of 21415453000 is 35451412.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 15275476836 + 6139976164 = 123594^2 + 78358^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34708692 + ... + 34709308.

Almost surely, 221415453000 is an apocalyptic number.

21415453000 is a gapful number since it is divisible by the number (20) 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 21415453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25552940400).

21415453000 is an abundant number, since it is smaller than the sum of its proper divisors (29690427800).

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

21415453000 is a wasteful number, since it uses less digits than its factorization.

21415453000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 21415453000 in words is "twenty-one billion, four hundred fifteen million, four hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 569 610 617 1000 1138 1220 1234 1525 2276 2440 2468 2845 3050 3085 4552 4936 5690 6100 6170 7625 11380 12200 12340 14225 15250 15425 22760 24680 28450 30500 30850 34709 37637 56900 61000 61700 69418 71125 75274 77125 113800 123400 138836 142250 150548 154250 173545 188185 277672 284500 301096 308500 347090 351073 376370 569000 617000 694180 702146 752740 867725 940925 1388360 1404292 1505480 1735450 1755365 1881850 2808584 3470900 3510730 3763700 4338625 4704625 6941800 7021460 7527400 8677250 8776825 9409250 14042920 17354500 17553650 18818500 21415453 34709000 35107300 37637000 42830906 43884125 70214600 85661812 87768250 107077265 171323624 175536500 214154530 351073000 428309060 535386325 856618120 1070772650 2141545300 2676931625 4283090600 5353863250 10707726500 21415453000