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10444928900 = 2252719785333
BaseRepresentation
bin10011011101001000…
…01111011110000100
3222221220222100211112
421232210033132010
5132342400211100
64444235024152
7516556300520
oct115644173604
928856870745
1010444928900
11447a98774a
122035b9b058
13ca5c2cc03
147112a0d80
15411e98b35
hex26e90f784

10444928900 has 72 divisors (see below), whose sum is σ = 27266796480. Its totient is φ = 3392634240.

The previous prime is 10444928873. The next prime is 10444928903. The reversal of 10444928900 is 982944401.

10444928900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10444928903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379367 + ... + 405966.

Almost surely, 210444928900 is an apocalyptic number.

10444928900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10444928900 is an abundant number, since it is smaller than the sum of its proper divisors (16821867580).

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

10444928900 is a wasteful number, since it uses less digits than its factorization.

10444928900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785373 (or 785366 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 10444928900 in words is "ten billion, four hundred forty-four million, nine hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 13300 785333 1570666 3141332 3926665 5497331 7853330 10994662 14921327 15706660 19633325 21989324 27486655 29842654 39266650 54973310 59685308 74606635 78533300 104449289 109946620 137433275 149213270 208898578 274866550 298426540 373033175 417797156 522246445 549733100 746066350 1044492890 1492132700 2088985780 2611232225 5222464450 10444928900