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10728123800 = 235273734803
BaseRepresentation
bin10011111110111001…
…00010110110011000
31000200122212011012112
421333130202312120
5133432344430200
64532312531452
7526565355602
oct117734426630
930618764175
1010728123800
114605823219
1220b49b0b88
13101c7c5864
1473ab3c172
1542bc88535
hex27f722d98

10728123800 has 48 divisors (see below), whose sum is σ = 25284605640. Its totient is φ = 4232459520.

The previous prime is 10728123797. The next prime is 10728123803. The reversal of 10728123800 is 832182701.

It is an interprime number because it is at equal distance from previous prime (10728123797) and next prime (10728123803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10728123803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352802 + ... + 382001.

Almost surely, 210728123800 is an apocalyptic number.

10728123800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10728123800 is an abundant number, since it is smaller than the sum of its proper divisors (14556481840).

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

10728123800 is a wasteful number, since it uses less digits than its factorization.

10728123800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734892 (or 734883 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 10728123800 in words is "ten billion, seven hundred twenty-eight million, one hundred twenty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 14600 734803 1469606 2939212 3674015 5878424 7348030 14696060 18370075 29392120 36740150 53640619 73480300 107281238 146960600 214562476 268203095 429124952 536406190 1072812380 1341015475 2145624760 2682030950 5364061900 10728123800