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10420928904 = 2332916698971
BaseRepresentation
bin10011011010010001…
…01100000110001000
3222220020211001000210
421231020230012020
5132320224211104
64442020401120
7516145301631
oct115510540610
928806731023
1010420928904
114468385141
122029b461a0
13ca0c78c29
1470c014888
1540ed07989
hex26d22c188

10420928904 has 64 divisors (see below), whose sum is σ = 26969832000. Its totient is φ = 3351479040.

The previous prime is 10420928897. The next prime is 10420928983. The reversal of 10420928904 is 40982902401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157139 + ... + 1166109.

It is an arithmetic number, because the mean of its divisors is an integer number (421403625).

Almost surely, 210420928904 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 10420928904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484916000).

10420928904 is an abundant number, since it is smaller than the sum of its proper divisors (16548903096).

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

10420928904 is a wasteful number, since it uses less digits than its factorization.

10420928904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10678 (or 10674 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 10420928904 in words is "ten billion, four hundred twenty million, nine hundred twenty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1669 3338 5007 6676 8971 10014 13352 17942 20028 26913 35884 40056 48401 53826 71768 96802 107652 145203 193604 215304 260159 290406 387208 520318 580812 780477 1040636 1161624 1560954 2081272 3121908 6243816 14972599 29945198 44917797 59890396 89835594 119780792 179671188 359342376 434205371 868410742 1302616113 1736821484 2605232226 3473642968 5210464452 10420928904