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10016433408 = 283101139929
BaseRepresentation
bin10010101010000011…
…01010010100000000
3221212001200112112010
421111001222110000
5131003201332113
64333530532520
7503134164522
oct112501522400
927761615463
1010016433408
114280019743
121b36597140
13c38222397
146b03dda12
153d95571c3
hex25506a500

10016433408 has 144 divisors (see below), whose sum is σ = 27145137600. Its totient is φ = 3278438400.

The previous prime is 10016433353. The next prime is 10016433409. The reversal of 10016433408 is 80433461001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10016433409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10781488 + ... + 10782416.

It is an arithmetic number, because the mean of its divisors is an integer number (188507900).

Almost surely, 210016433408 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 10016433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13572568800).

10016433408 is an abundant number, since it is smaller than the sum of its proper divisors (17128704192).

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

10016433408 is a wasteful number, since it uses less digits than its factorization.

10016433408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 10016433408 its reverse (80433461001), we get a palindrome (90449894409).

The spelling of 10016433408 in words is "ten billion, sixteen million, four hundred thirty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 139 192 202 256 278 303 384 404 417 556 606 768 808 834 929 1112 1212 1616 1668 1858 2224 2424 2787 3232 3336 3716 4448 4848 5574 6464 6672 7432 8896 9696 11148 12928 13344 14039 14864 17792 19392 22296 25856 26688 28078 29728 35584 38784 42117 44592 53376 56156 59456 77568 84234 89184 93829 106752 112312 118912 129131 168468 178368 187658 224624 237824 258262 281487 336936 356736 375316 387393 449248 516524 562974 673872 713472 750632 774786 898496 1033048 1125948 1347744 1501264 1549572 1796992 2066096 2251896 2695488 3002528 3099144 3593984 4132192 4503792 5390976 6005056 6198288 8264384 9007584 10781952 12010112 12396576 13042231 16528768 18015168 24020224 24793152 26084462 33057536 36030336 39126693 49586304 52168924 72060672 78253386 99172608 104337848 156506772 208675696 313013544 417351392 626027088 834702784 1252054176 1669405568 2504108352 3338811136 5008216704 10016433408