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253464253464 = 233591011799901
BaseRepresentation
bin1110110000001110100…
…1011001010000011000
3220020020100201011111010
43230003221121100120
513123043322102324
6312235002333520
724212036415042
oct3540351312030
9806210634433
10253464253464
1198547a66144
12411587ba2a0
131ab949c0a06
14c3a6946a92
1568d7014829
hex3b03a59418

253464253464 has 128 divisors (see below), whose sum is σ = 654482592000. Its totient is φ = 81766080000.

The previous prime is 253464253457. The next prime is 253464253513. The reversal of 253464253464 is 464352464352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25594914 + ... + 25604814.

It is an arithmetic number, because the mean of its divisors is an integer number (5113145250).

Almost surely, 2253464253464 is an apocalyptic number.

253464253464 is a gapful number since it is divisible by the number (24) 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 253464253464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327241296000).

253464253464 is an abundant number, since it is smaller than the sum of its proper divisors (401018338536).

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

253464253464 is a wasteful number, since it uses less digits than its factorization.

253464253464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10249 (or 10245 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

The spelling of 253464253464 in words is "two hundred fifty-three billion, four hundred sixty-four million, two hundred fifty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 59 101 118 177 179 202 236 303 354 358 404 472 537 606 708 716 808 1074 1212 1416 1432 2148 2424 4296 5959 9901 10561 11918 17877 18079 19802 21122 23836 29703 31683 35754 36158 39604 42244 47672 54237 59406 63366 71508 72316 79208 84488 108474 118812 126732 143016 144632 216948 237624 253464 433896 584159 1000001 1066661 1168318 1752477 1772279 2000002 2133322 2336636 3000003 3199983 3504954 3544558 4000004 4266644 4673272 5316837 6000006 6399966 7009908 7089116 8000008 8533288 10633674 12000012 12799932 14019816 14178232 21267348 24000024 25599864 42534696 59000059 104564461 118000118 177000177 179000179 209128922 236000236 313693383 354000354 358000358 418257844 472000472 537000537 627386766 708000708 716000716 836515688 1074001074 1254773532 1416001416 1432001432 2148002148 2509547064 4296004296 10561010561 21122021122 31683031683 42244042244 63366063366 84488084488 126732126732 253464253464