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153256625152 = 210737332797
BaseRepresentation
bin1000111010111011001…
…1101000010000000000
3112122120201101012201221
42032232303220100000
510002332144001102
6154223301204424
714033561551141
oct2165663502000
9478521335657
10153256625152
1159aa54078a4
1225851400714
13115b5185aa7
1475bc0b9ac8
153ebe965637
hex23aece8400

153256625152 has 88 divisors (see below), whose sum is σ = 311095215896. Its totient is φ = 75448516608.

The previous prime is 153256625143. The next prime is 153256625153. The reversal of 153256625152 is 251526652351.

It can be written as a sum of positive squares in 4 ways, for example, as 89558941696 + 63697683456 = 299264^2 + 252384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 153256625099 and 153256625108.

It is not an unprimeable number, because it can be changed into a prime (153256625153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54791818 + ... + 54794614.

Almost surely, 2153256625152 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 153256625152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155547607948).

153256625152 is an abundant number, since it is smaller than the sum of its proper divisors (157838590744).

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

153256625152 is an equidigital number, since it uses as much as digits as its factorization.

153256625152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3605 counting only the distinct ones).

The product of its digits is 540000, while the sum is 43.

The spelling of 153256625152 in words is "one hundred fifty-three billion, two hundred fifty-six million, six hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 733 1024 1168 1466 2336 2797 2932 4672 5594 5864 9344 11188 11728 18688 22376 23456 37376 44752 46912 53509 74752 89504 93824 107018 179008 187648 204181 214036 358016 375296 408362 428072 716032 750592 816724 856144 1432064 1633448 1712288 2050201 2864128 3266896 3424576 4100402 6533792 6849152 8200804 13067584 13698304 16401608 26135168 27396608 32803216 52270336 54793216 65606432 104540672 131212864 149664673 209081344 262425728 299329346 524851456 598658692 1049702912 1197317384 2099405824 2394634768 4789269536 9578539072 19157078144 38314156288 76628312576 153256625152