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10006020252 = 2232277945007
BaseRepresentation
bin10010101000110011…
…11100000010011100
3221211100002111100200
421110121330002130
5130443020122002
64332515423500
7502646524464
oct112431740234
927740074320
1010006020252
114275157128
121b32bb4b90
13c36017757
146acc8cba4
153d869bb1c
hex25467c09c

10006020252 has 18 divisors (see below), whose sum is σ = 25292995728. Its totient is φ = 3335340072.

The previous prime is 10006020251. The next prime is 10006020281. The reversal of 10006020252 is 25202060001.

10006020252 is a `hidden beast` number, since 10 + 0 + 0 + 602 + 0 + 2 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006020251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138972468 + ... + 138972539.

Almost surely, 210006020252 is an apocalyptic number.

10006020252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10006020252 is an abundant number, since it is smaller than the sum of its proper divisors (15286975476).

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

10006020252 is a wasteful number, since it uses less digits than its factorization.

10006020252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277945017 (or 277945012 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10006020252 its reverse (25202060001), we get a palindrome (35208080253).

The spelling of 10006020252 in words is "ten billion, six million, twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 277945007 555890014 833835021 1111780028 1667670042 2501505063 3335340084 5003010126 10006020252