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10129403648 = 28713434813
BaseRepresentation
bin10010110111100001…
…00110111100000000
3222010221021000120002
421123300212330000
5131221111404043
64353044135132
7506005340030
oct113360467400
928127230502
1010129403648
114328869981
121b683974a8
13c55757690
146c14098c0
153e441ebb8
hex25bc26f00

10129403648 has 72 divisors (see below), whose sum is σ = 24885274848. Its totient is φ = 4007227392.

The previous prime is 10129403639. The next prime is 10129403659. The reversal of 10129403648 is 84630492101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194111 + ... + 240702.

Almost surely, 210129403648 is an apocalyptic number.

It is an amenable number.

10129403648 is an abundant number, since it is smaller than the sum of its proper divisors (14755871200).

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

10129403648 is an equidigital number, since it uses as much as digits as its factorization.

10129403648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434849 (or 434835 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

Adding to 10129403648 its reverse (84630492101), we get a palindrome (94759895749).

The spelling of 10129403648 in words is "ten billion, one hundred twenty-nine million, four hundred three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1664 1792 2912 3328 5824 11648 23296 434813 869626 1739252 3043691 3478504 5652569 6087382 6957008 11305138 12174764 13914016 22610276 24349528 27828032 39567983 45220552 48699056 55656064 79135966 90441104 97398112 111312128 158271932 180882208 194796224 316543864 361764416 389592448 633087728 723528832 779184896 1266175456 1447057664 2532350912 5064701824 10129403648