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10445832192 = 21434612
BaseRepresentation
bin10011011101001111…
…01100000000000000
3222221222200020220210
421232213230000000
5132343113112232
64444310234120
7516600052155
oct115647540000
928858606823
1010445832192
114480444374
122036355940
13ca61880c3
1471145822c
154120c65cc
hex26e9ec000

10445832192 has 90 divisors (see below), whose sum is σ = 27915255844. Its totient is φ = 3474391040.

The previous prime is 10445832157. The next prime is 10445832197. The reversal of 10445832192 is 29123854401.

It is a self number, because there is not a number n which added to its sum of digits gives 10445832192.

It is not an unprimeable number, because it can be changed into a prime (10445832197) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 22658842 + ... + 22659302.

Almost surely, 210445832192 is an apocalyptic number.

10445832192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10445832192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13957627922).

10445832192 is an abundant number, since it is smaller than the sum of its proper divisors (17469423652).

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

10445832192 is an frugal number, since it uses more digits than its factorization.

10445832192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 10445832192 in words is "ten billion, four hundred forty-five million, eight hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 461 512 768 922 1024 1383 1536 1844 2048 2766 3072 3688 4096 5532 6144 7376 8192 11064 12288 14752 16384 22128 24576 29504 44256 49152 59008 88512 118016 177024 212521 236032 354048 425042 472064 637563 708096 850084 944128 1275126 1416192 1700168 1888256 2550252 2832384 3400336 3776512 5100504 5664768 6800672 7553024 10201008 11329536 13601344 20402016 22659072 27202688 40804032 54405376 81608064 108810752 163216128 217621504 326432256 435243008 652864512 870486016 1305729024 1740972032 2611458048 3481944064 5222916096 10445832192