Search a number
-
+
252688125952 = 212131470927
BaseRepresentation
bin1110101101010101100…
…0101101000000000000
3220011020021021210200201
43223111120231000000
513120001130012302
6312025555254544
724153563426443
oct3532530550000
9804207253621
10252688125952
1198189950049
1240b808aa454
131aa9cc78a72
14c33183365a
15688dd05c87
hex3ad562d000

252688125952 has 52 divisors (see below), whose sum is σ = 509173004736. Its totient is φ = 125379338240.

The previous prime is 252688125929. The next prime is 252688125961. The reversal of 252688125952 is 259521886252.

It is a junction number, because it is equal to n+sod(n) for n = 252688125893 and 252688125902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 301113 + ... + 772039.

Almost surely, 2252688125952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252688125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254586502368).

252688125952 is an abundant number, since it is smaller than the sum of its proper divisors (256484878784).

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

252688125952 is an equidigital number, since it uses as much as digits as its factorization.

252688125952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471082 (or 471060 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 55.

The spelling of 252688125952 in words is "two hundred fifty-two billion, six hundred eighty-eight million, one hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 512 524 1024 1048 2048 2096 4096 4192 8384 16768 33536 67072 134144 268288 470927 536576 941854 1883708 3767416 7534832 15069664 30139328 60278656 61691437 120557312 123382874 241114624 246765748 482229248 493531496 964458496 987062992 1928916992 1974125984 3948251968 7896503936 15793007872 31586015744 63172031488 126344062976 252688125952