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5255350144 = 271119316337
BaseRepresentation
bin1001110010011111…
…00100011110000000
3111120020212110002221
410321033210132000
541230332201034
62225252220424
7244142511352
oct47117443600
914506773087
105255350144
112257565390
12102800a714
13659a25555
1437bd710d2
1520b595bb4
hex1393e4780

5255350144 has 128 divisors (see below), whose sum is σ = 12412339200. Its totient is φ = 2189721600.

The previous prime is 5255350103. The next prime is 5255350169. The reversal of 5255350144 is 4410535525.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826144 + ... + 832480.

It is an arithmetic number, because the mean of its divisors is an integer number (96971400).

Almost surely, 25255350144 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 5255350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6206169600).

5255350144 is an abundant number, since it is smaller than the sum of its proper divisors (7156989056).

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

5255350144 is a wasteful number, since it uses less digits than its factorization.

5255350144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 34.

The square root of 5255350144 is about 72493.7938309205. The cubic root of 5255350144 is about 1738.6035106763.

Adding to 5255350144 its reverse (4410535525), we get a palindrome (9665885669).

The spelling of 5255350144 in words is "five billion, two hundred fifty-five million, three hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 31 32 38 44 62 64 76 88 124 128 152 176 209 248 304 341 352 418 496 589 608 682 704 836 992 1178 1216 1364 1408 1672 1984 2356 2432 2728 3344 3968 4712 5456 6337 6479 6688 9424 10912 12674 12958 13376 18848 21824 25348 25916 26752 37696 43648 50696 51832 69707 75392 101392 103664 120403 139414 196447 202784 207328 240806 278828 392894 405568 414656 481612 557656 785788 811136 829312 963224 1115312 1324433 1571576 1926448 2160917 2230624 2648866 3143152 3732493 3852896 4321834 4461248 5297732 6286304 7464986 7705792 8643668 8922496 10595464 12572608 14929972 15411584 17287336 21190928 25145216 29859944 34574672 41057423 42381856 59719888 69149344 82114846 84763712 119439776 138298688 164229692 169527424 238879552 276597376 328459384 477759104 656918768 1313837536 2627675072 5255350144