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10025353352 = 2372371674139
BaseRepresentation
bin10010101011000111…
…01100000010001000
3221212200110201101102
421111203230002020
5131012442301402
64334450040532
7503303045300
oct112543540210
927780421342
1010025353352
1142850613a3
121b39579148
13c3a026461
146b1682600
153da21a102
hex2558ec088

10025353352 has 96 divisors (see below), whose sum is σ = 22597444800. Its totient is φ = 4154419584.

The previous prime is 10025353343. The next prime is 10025353369. The reversal of 10025353352 is 25335352001.

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 23 ways as a sum of consecutive naturals, for example, 2420099 + ... + 2424237.

It is an arithmetic number, because the mean of its divisors is an integer number (235390050).

Almost surely, 210025353352 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 10025353352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11298722400).

10025353352 is an abundant number, since it is smaller than the sum of its proper divisors (12572091448).

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

10025353352 is a wasteful number, since it uses less digits than its factorization.

10025353352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 29.

The spelling of 10025353352 in words is "ten billion, twenty-five million, three hundred fifty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 167 196 259 296 334 392 518 668 1036 1169 1336 1813 2072 2338 3626 4139 4676 6179 7252 8183 8278 9352 12358 14504 16366 16556 24716 28973 32732 33112 43253 49432 57946 65464 86506 115892 153143 173012 202811 231784 302771 306286 346024 405622 605542 612572 691213 811244 1072001 1211084 1225144 1382426 1622488 2144002 2422168 2764852 4288004 4838491 5529704 7504007 8576008 9676982 15008014 19353964 25574881 30016028 33869437 38707928 51149762 60032056 67738874 102299524 135477748 179024167 204599048 270955496 358048334 716096668 1253169169 1432193336 2506338338 5012676676 10025353352