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10425320768 = 262359120041
BaseRepresentation
bin10011011010110010…
…11100010101000000
3222220120002011112102
421231121130111000
5132322340231033
64442254445532
7516230523122
oct115531342500
928816064472
1010425320768
11446a904885
12202b5038a8
13ca1b55c75
1470c839212
154103c3de8
hex26d65c540

10425320768 has 56 divisors (see below), whose sum is σ = 21953280960. Its totient is φ = 4901473280.

The previous prime is 10425320761. The next prime is 10425320779. The reversal of 10425320768 is 86702352401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10425320761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26828 + ... + 146868.

Almost surely, 210425320768 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 10425320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10976640480).

10425320768 is an abundant number, since it is smaller than the sum of its proper divisors (11527960192).

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

10425320768 is a wasteful number, since it uses less digits than its factorization.

10425320768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120135 (or 120125 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 10425320768 in words is "ten billion, four hundred twenty-five million, three hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 59 64 92 118 184 236 368 472 736 944 1357 1472 1888 2714 3776 5428 10856 21712 43424 86848 120041 240082 480164 960328 1920656 2760943 3841312 5521886 7082419 7682624 11043772 14164838 22087544 28329676 44175088 56659352 88350176 113318704 162895637 176700352 226637408 325791274 453274816 651582548 1303165096 2606330192 5212660384 10425320768