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10070800344 = 23321166119237
BaseRepresentation
bin10010110000100010…
…00011011111011000
3221222211222122221100
421120101003133120
5131111111102334
64343152111400
7504364250643
oct113021033730
927884878840
1010070800344
1142a87823a0
121b50835560
13c46579377
146b7712a5a
153de1e5c99
hex2584437d8

10070800344 has 96 divisors (see below), whose sum is σ = 29801201040. Its totient is φ = 3046982400.

The previous prime is 10070800331. The next prime is 10070800367. The reversal of 10070800344 is 44300807001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513894 + ... + 533130.

Almost surely, 210070800344 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 10070800344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14900600520).

10070800344 is an abundant number, since it is smaller than the sum of its proper divisors (19730400696).

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

10070800344 is a wasteful number, since it uses less digits than its factorization.

10070800344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19921 (or 19914 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10070800344 in words is "ten billion, seventy million, eight hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 661 792 1322 1983 2644 3966 5288 5949 7271 7932 11898 14542 15864 19237 21813 23796 29084 38474 43626 47592 57711 58168 65439 76948 87252 115422 130878 153896 173133 174504 211607 230844 261756 346266 423214 461688 523512 634821 692532 846428 1269642 1385064 1692856 1904463 2539284 3808926 5078568 7617852 12715657 15235704 25431314 38146971 50862628 76293942 101725256 114440913 139872227 152587884 228881826 279744454 305175768 419616681 457763652 559488908 839233362 915527304 1118977816 1258850043 1678466724 2517700086 3356933448 5035400172 10070800344