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10412012032 = 29171916263
BaseRepresentation
bin10011011001001101…
…01011001000000000
3222212122001000101021
421230212223020000
5132310433341112
64441101315224
7516006433132
oct115446531000
928778030337
1010412012032
114463344824
122026b65b14
13c9c176386
1470ab73052
1540e145907
hex26c9ab200

10412012032 has 80 divisors (see below), whose sum is σ = 22146296832. Its totient is φ = 4873338880.

The previous prime is 10412012003. The next prime is 10412012053. The reversal of 10412012032 is 23021021401.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10412011997 and 10412012015.

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 7 ways as a sum of consecutive naturals, for example, 1659333 + ... + 1665595.

Almost surely, 210412012032 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 10412012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11073148416).

10412012032 is an abundant number, since it is smaller than the sum of its proper divisors (11734284800).

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

10412012032 is an equidigital number, since it uses as much as digits as its factorization.

10412012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6489 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10412012032 its reverse (23021021401), we get a palindrome (33433033433).

The spelling of 10412012032 in words is "ten billion, four hundred twelve million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 191 256 272 382 512 544 764 1088 1528 2176 3056 3247 4352 6112 6263 6494 8704 12224 12526 12988 24448 25052 25976 48896 50104 51952 97792 100208 103904 106471 200416 207808 212942 400832 415616 425884 801664 831232 851768 1196233 1603328 1662464 1703536 2392466 3206656 3407072 4784932 6814144 9569864 13628288 19139728 20335961 27256576 38279456 40671922 54513152 76558912 81343844 153117824 162687688 306235648 325375376 612471296 650750752 1301501504 2603003008 5206006016 10412012032