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10044200880 = 243557312381
BaseRepresentation
bin10010101101010111…
…00101011110110000
3221220222221021100000
421112223211132300
5131032303412010
64340402030000
7503622204330
oct112653453660
927828837300
1010044200880
11429476486a
121b43948300
13c40bc513c
146b3d8b0c0
153dbbde7c0
hex256ae57b0

10044200880 has 480 divisors, whose sum is σ = 41285357568. Its totient is φ = 2220825600.

The previous prime is 10044200867. The next prime is 10044200909. The reversal of 10044200880 is 8800244001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4217290 + ... + 4219670.

Almost surely, 210044200880 is an apocalyptic number.

10044200880 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 10044200880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20642678784).

10044200880 is an abundant number, since it is smaller than the sum of its proper divisors (31241156688).

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

10044200880 is a wasteful number, since it uses less digits than its factorization.

10044200880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 10044200880 its reverse (8800244001), we get a palindrome (18844444881).

The spelling of 10044200880 in words is "ten billion, forty-four million, two hundred thousand, eight hundred eighty".