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10010014632 = 2332373757513
BaseRepresentation
bin10010101001010010…
…01011001110101000
3221211121121102121200
421110221023032220
5131000030432012
64333141204200
7503025502062
oct112451131650
927747542550
1010010014632
114277435172
121b34400660
13c36ab58a7
146ad60c732
153d8bda3dc
hex254a4b3a8

10010014632 has 48 divisors (see below), whose sum is σ = 27843178740. Its totient is φ = 3246490368.

The previous prime is 10010014631. The next prime is 10010014691. The reversal of 10010014632 is 23641001001.

It is a happy number.

10010014632 is a `hidden beast` number, since 10 + 0 + 10 + 0 + 14 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9978811236 + 31203396 = 99894^2 + 5586^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10010014631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1876093 + ... + 1881420.

Almost surely, 210010014632 is an apocalyptic number.

10010014632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010014632 is an abundant number, since it is smaller than the sum of its proper divisors (17833164108).

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

10010014632 is a wasteful number, since it uses less digits than its factorization.

10010014632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757562 (or 3757555 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10010014632 its reverse (23641001001), we get a palindrome (33651015633).

The spelling of 10010014632 in words is "ten billion, ten million, fourteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 3757513 7515026 11272539 15030052 22545078 30060104 33817617 45090156 67635234 90180312 135270468 139027981 270540936 278055962 417083943 556111924 834167886 1112223848 1251251829 1668335772 2502503658 3336671544 5005007316 10010014632