Search a number
-
+
16253431152 = 2437281172147
BaseRepresentation
bin11110010001100011…
…11010110101110000
31112221201200211222120
433020301322311300
5231241334244102
611244451234240
71113526612440
oct171061726560
945851624876
1016253431152
116990702432
1231972a8980
1316c042a5aa
14b028a2120
15651da66bc
hex3c8c7ad70

16253431152 has 80 divisors (see below), whose sum is σ = 48157370112. Its totient is φ = 4627284480.

The previous prime is 16253431133. The next prime is 16253431157. The reversal of 16253431152 is 25113435261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16253431157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8343 + ... + 180489.

Almost surely, 216253431152 is an apocalyptic number.

16253431152 is a gapful number since it is divisible by the number (12) 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 16253431152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24078685056).

16253431152 is an abundant number, since it is smaller than the sum of its proper divisors (31903938960).

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

16253431152 is a wasteful number, since it uses less digits than its factorization.

16253431152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172446 (or 172440 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The spelling of 16253431152 in words is "sixteen billion, two hundred fifty-three million, four hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 281 336 562 843 1124 1686 1967 2248 3372 3934 4496 5901 6744 7868 11802 13488 15736 23604 31472 47208 94416 172147 344294 516441 688588 1032882 1205029 1377176 2065764 2410058 2754352 3615087 4131528 4820116 7230174 8263056 9640232 14460348 19280464 28920696 48373307 57841392 96746614 145119921 193493228 290239842 338613149 386986456 580479684 677226298 773972912 1015839447 1160959368 1354452596 2031678894 2321918736 2708905192 4063357788 5417810384 8126715576 16253431152