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45453254032 = 24194161191313
BaseRepresentation
bin101010010101001110…
…011001110110010000
311100022201022112201001
4222111032121312100
51221042013112112
632514140551344
73166242166414
oct522516316620
9140281275631
1045453254032
11183051a455a
128986252554
134394aa9cb4
1422b2936d44
1512b0620c57
hexa95399d90

45453254032 has 160 divisors (see below), whose sum is σ = 97333770240. Its totient is φ = 20487168000.

The previous prime is 45453254027. The next prime is 45453254047. The reversal of 45453254032 is 23045235454.

It is a junction number, because it is equal to n+sod(n) for n = 45453253982 and 45453254000.

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 31 ways as a sum of consecutive naturals, for example, 145217908 + ... + 145218220.

It is an arithmetic number, because the mean of its divisors is an integer number (608336064).

Almost surely, 245453254032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45453254032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48666885120).

45453254032 is an abundant number, since it is smaller than the sum of its proper divisors (51880516208).

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

45453254032 is a wasteful number, since it uses less digits than its factorization.

45453254032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 37.

Adding to 45453254032 its reverse (23045235454), we get a palindrome (68498489486).

The spelling of 45453254032 in words is "forty-five billion, four hundred fifty-three million, two hundred fifty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 41 61 76 82 122 152 164 191 244 304 313 328 382 488 626 656 764 779 976 1159 1252 1528 1558 2318 2501 2504 3056 3116 3629 4636 5002 5008 5947 6232 7258 7831 9272 10004 11651 11894 12464 12833 14516 15662 18544 19093 20008 23302 23788 25666 29032 31324 38186 40016 46604 47519 47576 51332 58064 59783 62648 76372 93208 95038 95152 102664 119566 125296 148789 152744 186416 190076 205328 221369 239132 243827 297578 305488 362767 380152 442738 477691 478264 487654 595156 725534 760304 782813 885476 955382 956528 975308 1135877 1190312 1451068 1565626 1770952 1910764 1950616 2271754 2380624 2451103 2902136 3131252 3541904 3646763 3821528 3901232 4543508 4902206 5804272 6262504 7293526 7643056 9076129 9087016 9804412 12525008 14587052 14873447 18152258 18174032 19608824 29174104 29746894 36304516 39217648 46570957 58348208 59493788 69288497 72609032 93141914 118987576 138576994 145218064 149517283 186283828 237975152 277153988 299034566 372567656 554307976 598069132 745135312 1108615952 1196138264 2392276528 2840828377 5681656754 11363313508 22726627016 45453254032