Search a number
-
+
603145663306540 = 2253713919130700279
BaseRepresentation
bin1000100100100011101100101…
…1000000100101101100101100
32221002120011101022101002222121
42021020323023000211230230
51113023414304301302130
65534441143110122324
7241020556542215314
oct21110731300455454
92832504338332877
10603145663306540
111651a9703a63892
12577918063503a4
131cb715132bcc73
14a8d259799a444
1549ae30990ed7a
hex2248ecb025b2c

603145663306540 has 96 divisors (see below), whose sum is σ = 1317056748134400. Its totient is φ = 231828851278080.

The previous prime is 603145663306523. The next prime is 603145663306541. The reversal of 603145663306540 is 45603366541306.

It is a super-2 number, since 2×6031456633065402 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (603145663306541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4296121 + ... + 34996399.

It is an arithmetic number, because the mean of its divisors is an integer number (13719341126400).

Almost surely, 2603145663306540 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 603145663306540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658528374067200).

603145663306540 is an abundant number, since it is smaller than the sum of its proper divisors (713911084827860).

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

603145663306540 is a wasteful number, since it uses less digits than its factorization.

603145663306540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30700655 (or 30700653 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 52.

The spelling of 603145663306540 in words is "six hundred three trillion, one hundred forty-five billion, six hundred sixty-three million, three hundred six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 139 148 185 191 278 370 382 556 695 740 764 955 1390 1910 2780 3820 5143 7067 10286 14134 20572 25715 26549 28268 35335 51430 53098 70670 102860 106196 132745 141340 265490 530980 982313 1964626 3929252 4911565 9823130 19646260 30700279 61400558 122801116 153501395 307002790 614005580 1135910323 2271820646 4267338781 4543641292 5679551615 5863753289 8534677562 11359103230 11727506578 17069355124 21336693905 22718206460 23455013156 29318766445 42673387810 58637532890 85346775620 117275065780 157891534897 216958871693 315783069794 433917743386 631566139588 789457674485 815061707171 867835486772 1084794358465 1578915348970 1630123414342 2169588716930 3157830697940 3260246828684 4075308535855 4339177433860 8150617071710 16301234143420 30157283165327 60314566330654 120629132661308 150786415826635 301572831653270 603145663306540