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10010606000 = 245319263437
BaseRepresentation
bin10010101001010110…
…11011100110110000
3221211122201110211012
421110223123212300
5131000203343000
64333202010052
7503033514143
oct112453334660
927748643735
1010010606000
1142777a94aa
121b34646928
13c36c61b05
146ad72405a
153d8ca5735
hex254adb9b0

10010606000 has 80 divisors (see below), whose sum is σ = 25479723360. Its totient is φ = 3793478400.

The previous prime is 10010605993. The next prime is 10010606101. The reversal of 10010606000 is 60601001.

10010606000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93719 + ... + 169718.

It is an arithmetic number, because the mean of its divisors is an integer number (318496542).

Almost surely, 210010606000 is an apocalyptic number.

10010606000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010606000 is an abundant number, since it is smaller than the sum of its proper divisors (15469117360).

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

10010606000 is a wasteful number, since it uses less digits than its factorization.

10010606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263479 (or 263463 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The spelling of 10010606000 in words is "ten billion, ten million, six hundred six thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 263437 526874 1053748 1317185 2107496 2634370 4214992 5005303 5268740 6585925 10010606 10537480 13171850 20021212 21074960 25026515 26343700 32929625 40042424 50053030 52687400 65859250 80084848 100106060 105374800 125132575 131718500 200212120 250265150 263437000 400424240 500530300 526874000 625662875 1001060600 1251325750 2002121200 2502651500 5005303000 10010606000