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10038162432 = 21033267631
BaseRepresentation
bin10010101100101001…
…00011010000000000
3221220120120111010210
421112110203100000
5131024232144212
64340024354120
7503516654454
oct112624432000
927816514123
1010038162432
114291310011
121b41915940
13c3c88c7ac
146b3258664
153db3ea53c
hex256523400

10038162432 has 44 divisors (see below), whose sum is σ = 26755370816. Its totient is φ = 3346053120.

The previous prime is 10038162427. The next prime is 10038162437. The reversal of 10038162432 is 23426183001.

It is an interprime number because it is at equal distance from previous prime (10038162427) and next prime (10038162437).

It is a super-2 number, since 2×100381624322 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10038162432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10038162437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1630744 + ... + 1636887.

Almost surely, 210038162432 is an apocalyptic number.

10038162432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10038162432 is an abundant number, since it is smaller than the sum of its proper divisors (16717208384).

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

10038162432 is an equidigital number, since it uses as much as digits as its factorization.

10038162432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267654 (or 3267636 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 10038162432 in words is "ten billion, thirty-eight million, one hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 3267631 6535262 9802893 13070524 19605786 26141048 39211572 52282096 78423144 104564192 156846288 209128384 313692576 418256768 627385152 836513536 1254770304 1673027072 2509540608 3346054144 5019081216 10038162432