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255136631552 = 2811234196079
BaseRepresentation
bin1110110110011101010…
…1000000101100000000
3220101112220120202221022
43231213111000230000
513140004434202202
6313112543245012
724301344404645
oct3554725005400
9811486522838
10255136631552
1199225a825a0
12415448a9768
131b0a031884a
14c4c4abbdcc
156983c5dea2
hex3b67540b00

255136631552 has 144 divisors (see below), whose sum is σ = 593875860480. Its totient is φ = 108222259200.

The previous prime is 255136631539. The next prime is 255136631597.

255136631552 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 2607449 + ... + 2703527.

It is an arithmetic number, because the mean of its divisors is an integer number (4124137920).

Almost surely, 2255136631552 is an apocalyptic number.

255136631552 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 255136631552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296937930240).

255136631552 is an abundant number, since it is smaller than the sum of its proper divisors (338739228928).

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

255136631552 is a wasteful number, since it uses less digits than its factorization.

255136631552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96170 (or 96156 counting only the distinct ones).

The product of its digits is 810000, while the sum is 44.

It can be divided in two parts, 255136 and 631552, that added together give a palindrome (886688).

The spelling of 255136631552 in words is "two hundred fifty-five billion, one hundred thirty-six million, six hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 32 41 44 46 64 82 88 92 128 164 176 184 253 256 328 352 368 451 506 656 704 736 902 943 1012 1312 1408 1472 1804 1886 2024 2624 2816 2944 3608 3772 4048 5248 5888 7216 7544 8096 10373 10496 14432 15088 16192 20746 28864 30176 32384 41492 57728 60352 64768 82984 96079 115456 120704 165968 192158 241408 331936 384316 663872 768632 1056869 1327744 1537264 2113738 2209817 2655488 3074528 3939239 4227476 4419634 6149056 7878478 8454952 8839268 12298112 15756956 16909904 17678536 24307987 24596224 31513912 33819808 35357072 43331629 48615974 63027824 67639616 70714144 86663258 90602497 97231948 126055648 135279232 141428288 173326516 181204994 194463896 252111296 270558464 282856576 346653032 362409988 388927792 504222592 565713152 693306064 724819976 777855584 996627467 1008445184 1386612128 1449639952 1555711168 1993254934 2773224256 2899279904 3111422336 3986509868 5546448512 5798559808 6222844672 7973019736 11092897024 11597119616 15946039472 23194239232 31892078944 63784157888 127568315776 255136631552