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10290009552 = 2433171173563
BaseRepresentation
bin10011001010101010…
…10001010111010000
3222120010110122102220
421211111101113100
5132033220301202
64421022341040
7512665431564
oct114525212720
928503418386
1010290009552
114400495529
121bb212a780
13c7cacab64
146d88956a4
15403596abc
hex2655515d0

10290009552 has 160 divisors (see below), whose sum is σ = 28037062656. Its totient is φ = 3247910400.

The previous prime is 10290009539. The next prime is 10290009557. The reversal of 10290009552 is 25590009201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10290009557) 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, 18276823 + ... + 18277385.

Almost surely, 210290009552 is an apocalyptic number.

10290009552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10290009552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018531328).

10290009552 is an abundant number, since it is smaller than the sum of its proper divisors (17747053104).

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

10290009552 is a wasteful number, since it uses less digits than its factorization.

10290009552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The spelling of 10290009552 in words is "ten billion, two hundred ninety million, nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 71 93 124 142 173 186 213 248 284 346 372 426 496 519 563 568 692 744 852 1038 1126 1136 1384 1488 1689 1704 2076 2201 2252 2768 3378 3408 4152 4402 4504 5363 6603 6756 8304 8804 9008 10726 12283 13206 13512 16089 17453 17608 21452 24566 26412 27024 32178 34906 35216 36849 39973 42904 49132 52359 52824 64356 69812 73698 79946 85808 97399 98264 104718 105648 119919 128712 139624 147396 159892 194798 196528 209436 239838 257424 279248 292197 294792 319784 380773 389596 418872 479676 584394 589584 639568 761546 779192 837744 959352 1142319 1168788 1239163 1523092 1558384 1918704 2284638 2337576 2478326 3019369 3046184 3717489 4569276 4675152 4956652 6038738 6092368 6915329 7434978 9058107 9138552 9913304 12077476 13830658 14869956 18116214 18277104 19826608 20745987 24154952 27661316 29739912 36232428 41491974 48309904 55322632 59479824 72464856 82983948 110645264 144929712 165967896 214375199 331935792 428750398 643125597 857500796 1286251194 1715001592 2572502388 3430003184 5145004776 10290009552