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633290750140 = 225379713764399
BaseRepresentation
bin10010011011100110001…
…00011111100010111100
32020112122010021101102011
421031303010133202330
540333434413001030
61202532454341004
763516351362416
oct11156304374274
92215563241364
10633290750140
11224639133944
12a289b95a764
1347946a16629
142291977b9b6
151171781db2a
hex937311f8bc

633290750140 has 96 divisors (see below), whose sum is σ = 1390029177600. Its totient is φ = 242144722944.

The previous prime is 633290750119. The next prime is 633290750297. The reversal of 633290750140 is 41057092336.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 633290750093 and 633290750102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9801661 + ... + 9866059.

It is an arithmetic number, because the mean of its divisors is an integer number (14479470600).

Almost surely, 2633290750140 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 633290750140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695014588800).

633290750140 is an abundant number, since it is smaller than the sum of its proper divisors (756738427460).

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

633290750140 is a wasteful number, since it uses less digits than its factorization.

633290750140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64679 (or 64677 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 633290750140 in words is "six hundred thirty-three billion, two hundred ninety million, seven hundred fifty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 97 137 148 185 194 274 370 388 485 548 685 740 970 1370 1940 2740 3589 5069 7178 10138 13289 14356 17945 20276 25345 26578 35890 50690 53156 64399 66445 71780 101380 128798 132890 257596 265780 321995 491693 643990 983386 1287980 1966772 2382763 2458465 4765526 4916930 6246703 8822663 9531052 9833860 11913815 12493406 17645326 23827630 24986812 31233515 35290652 44113315 47655260 62467030 88226630 124934060 176453260 231128011 326438531 462256022 652877062 855798311 924512044 1155640055 1305754124 1632192655 1711596622 2311280110 3264385310 3423193244 4278991555 4622560220 6528770620 8557983110 17115966220 31664537507 63329075014 126658150028 158322687535 316645375070 633290750140