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920553458328 = 233272534923167
BaseRepresentation
bin11010110010101010100…
…00110000101010011000
310021000002221201221120200
431121111100300222120
5110040243141131303
61542521343222200
7123336113201400
oct15312520605230
93230087657520
10920553458328
1132544a479299
1212a4ab5a7960
1368a66a1537a
14327aadbb800
1518e2bb703a3
hexd655430a98

920553458328 has 144 divisors (see below), whose sum is σ = 2954934665280. Its totient is φ = 258052669056.

The previous prime is 920553458311. The next prime is 920553458353. The reversal of 920553458328 is 823854355029.

It is a happy number.

920553458328 is a `hidden beast` number, since 9 + 2 + 0 + 5 + 5 + 34 + 583 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2274600 + ... + 2648567.

It is an arithmetic number, because the mean of its divisors is an integer number (20520379620).

Almost surely, 2920553458328 is an apocalyptic number.

920553458328 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

920553458328 is an abundant number, since it is smaller than the sum of its proper divisors (2034381206952).

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

920553458328 is a wasteful number, since it uses less digits than its factorization.

920553458328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923246 (or 4923232 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 920553458328 in words is "nine hundred twenty billion, five hundred fifty-three million, four hundred fifty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 53 56 63 72 84 98 106 126 147 159 168 196 212 252 294 318 371 392 424 441 477 504 588 636 742 882 954 1113 1176 1272 1484 1764 1908 2226 2597 2968 3339 3528 3816 4452 5194 6678 7791 8904 10388 13356 15582 20776 23373 26712 31164 46746 62328 93492 186984 4923167 9846334 14769501 19692668 29539002 34462169 39385336 44308503 59078004 68924338 88617006 103386507 118156008 137848676 177234012 206773014 241235183 260927851 275697352 310159521 354468024 413546028 482470366 521855702 620319042 723705549 782783553 827092056 964940732 1043711404 1240638084 1447411098 1565567106 1826494957 1929881464 2087422808 2171116647 2348350659 2481276168 2894822196 3131134212 3652989914 4342233294 4696701318 5479484871 5789644392 6262268424 7305979828 8684466588 9393402636 10958969742 12785464699 14611959656 16438454613 17368933176 18786805272 21917939484 25570929398 32876909226 38356394097 43835878968 51141858796 65753818452 76712788194 102283717592 115069182291 131507636904 153425576388 230138364582 306851152776 460276729164 920553458328