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253465302552 = 2337111283106903
BaseRepresentation
bin1110110000001110110…
…1011001011000011000
3220020020102200110120020
43230003231121120120
513123044104140202
6312235041030440
724212051344440
oct3540355313030
9806212613506
10253465302552
1198548612360
1241159025420
131ab94c9a387
14c3a6b3b120
1568d71705bc
hex3b03b59618

253465302552 has 128 divisors (see below), whose sum is σ = 790644879360. Its totient is φ = 65783214720.

The previous prime is 253465302523. The next prime is 253465302557. The reversal of 253465302552 is 255203564352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253465302557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2317533 + ... + 2424435.

It is an arithmetic number, because the mean of its divisors is an integer number (6176913120).

Almost surely, 2253465302552 is an apocalyptic number.

253465302552 is a gapful number since it is divisible by the number (22) 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 253465302552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395322439680).

253465302552 is an abundant number, since it is smaller than the sum of its proper divisors (537179576808).

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

253465302552 is a wasteful number, since it uses less digits than its factorization.

253465302552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108213 (or 108209 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 42.

The spelling of 253465302552 in words is "two hundred fifty-three billion, four hundred sixty-five million, three hundred two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1283 1848 2566 3849 5132 7698 8981 10264 14113 15396 17962 26943 28226 30792 35924 42339 53886 56452 71848 84678 98791 106903 107772 112904 169356 197582 213806 215544 296373 320709 338712 395164 427612 592746 641418 748321 790328 855224 1175933 1185492 1282836 1496642 2244963 2351866 2370984 2565672 2993284 3527799 4489926 4703732 5986568 7055598 8231531 8979852 9407464 14111196 16463062 17959704 24694593 28222392 32926124 49389186 65852248 98778372 137156549 197556744 274313098 411469647 548626196 822939294 960095843 1097252392 1508722039 1645878588 1920191686 2880287529 3017444078 3291757176 3840383372 4526166117 5760575058 6034888156 7680766744 9052332234 10561054273 11521150116 12069776312 18104664468 21122108546 23042300232 31683162819 36209328936 42244217092 63366325638 84488434184 126732651276 253465302552