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255324423552 = 27311371633679
BaseRepresentation
bin1110110111001010000…
…1011000010110000000
3220102000222221121010120
43231302201120112000
513140401023023202
6313143332300240
724306114535332
oct3556241302600
9812028847116
10255324423552
1199311a874a0
1241597771680
131b1001ba283
14c501a03452
1569954a60bc
hex3b72858580

255324423552 has 128 divisors (see below), whose sum is σ = 759857241600. Its totient is φ = 75279882240.

The previous prime is 255324423551. The next prime is 255324423553.

255324423552 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (255324423551) and next prime (255324423553).

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

It is a super-2 number, since 2×2553244235522 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255324423551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660552 + ... + 973127.

It is an arithmetic number, because the mean of its divisors is an integer number (5936384700).

Almost surely, 2255324423552 is an apocalyptic number.

255324423552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

255324423552 is an abundant number, since it is smaller than the sum of its proper divisors (504532818048).

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

255324423552 is a wasteful number, since it uses less digits than its factorization.

255324423552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633744 (or 1633732 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 42.

It can be divided in two parts, 255324 and 423552, that added together give a palindrome (678876).

The spelling of 255324423552 in words is "two hundred fifty-five billion, three hundred twenty-four million, four hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 264 296 352 384 407 444 528 592 704 814 888 1056 1184 1221 1408 1628 1776 2112 2368 2442 3256 3552 4224 4736 4884 6512 7104 9768 13024 14208 19536 26048 39072 52096 78144 156288 1633679 3267358 4901037 6534716 9802074 13069432 17970469 19604148 26138864 35940938 39208296 52277728 53911407 60446123 71881876 78416592 104555456 107822814 120892246 143763752 156833184 181338369 209110912 215645628 241784492 287527504 313666368 362676738 431291256 483568984 575055008 627332736 664907353 725353476 862582512 967137968 1150110016 1329814706 1450706952 1725165024 1934275936 1994722059 2300220032 2659629412 2901413904 3450330048 3868551872 3989444118 5319258824 5802827808 6900660096 7737103744 7978888236 10638517648 11605655616 15957776472 21277035296 23211311232 31915552944 42554070592 63831105888 85108141184 127662211776 255324423552