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10748556400 = 2452197136403
BaseRepresentation
bin10100000001010100…
…11111010001110000
31000202002022020110111
422000222133101300
5134003112301100
64534322511104
7530234136061
oct120052372160
930662266414
1010748556400
11461630956a
1220bb805494
131023acab5a
1473d73a568
1542d9726ba
hex280a9f470

10748556400 has 60 divisors (see below), whose sum is σ = 25954680312. Its totient is φ = 4277566720.

The previous prime is 10748556373. The next prime is 10748556407. The reversal of 10748556400 is 465584701.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10748556407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10599 + ... + 147001.

Almost surely, 210748556400 is an apocalyptic number.

10748556400 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 10748556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12977340156).

10748556400 is an abundant number, since it is smaller than the sum of its proper divisors (15206123912).

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

10748556400 is a wasteful number, since it uses less digits than its factorization.

10748556400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136618 (or 136607 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 10748556400 in words is "ten billion, seven hundred forty-eight million, five hundred fifty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 197 200 394 400 788 985 1576 1970 3152 3940 4925 7880 9850 15760 19700 39400 78800 136403 272806 545612 682015 1091224 1364030 2182448 2728060 3410075 5456120 6820150 10912240 13640300 26871391 27280600 53742782 54561200 107485564 134356955 214971128 268713910 429942256 537427820 671784775 1074855640 1343569550 2149711280 2687139100 5374278200 10748556400