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10044486400 = 2852132329181
BaseRepresentation
bin10010101101011001…
…01011001100000000
3221221000110202222211
421112230223030000
5131032342031100
64340412111504
7503624503624
oct112654531400
927830422884
1010044486400
11429493a333
121b43a65594
13c40c950a0
146b4023184
153dbc491ba
hex256b2b300

10044486400 has 432 divisors, whose sum is σ = 29061264960. Its totient is φ = 3406233600.

The previous prime is 10044486367. The next prime is 10044486407. The reversal of 10044486400 is 468444001.

It is not an unprimeable number, because it can be changed into a prime (10044486407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55494310 + ... + 55494490.

Almost surely, 210044486400 is an apocalyptic number.

10044486400 is a gapful number since it is divisible by the number (10) 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 10044486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530632480).

10044486400 is an abundant number, since it is smaller than the sum of its proper divisors (19016778560).

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

10044486400 is a wasteful number, since it uses less digits than its factorization.

10044486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 10044486400 in words is "ten billion, forty-four million, four hundred eighty-six thousand, four hundred".