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12385747400 = 23521341116189
BaseRepresentation
bin10111000100011111…
…11000000111001000
31011222011222011022012
423202033320013020
5200331222404100
65405005315052
7615634054505
oct134217700710
934864864265
1012385747400
115286482384
122497b65a88
131225055a20
14856d524ac
154c756b135
hex2e23f81c8

12385747400 has 96 divisors (see below), whose sum is σ = 31768669800. Its totient is φ = 4461619200.

The previous prime is 12385747399. The next prime is 12385747453. The reversal of 12385747400 is 474758321.

It can be written as a sum of positive squares in 12 ways, for example, as 2106626404 + 10279120996 = 45898^2 + 101386^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48506 + ... + 164694.

Almost surely, 212385747400 is an apocalyptic number.

12385747400 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 12385747400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15884334900).

12385747400 is an abundant number, since it is smaller than the sum of its proper divisors (19382922400).

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

12385747400 is a wasteful number, since it uses less digits than its factorization.

12385747400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116259 (or 116250 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The spelling of 12385747400 in words is "twelve billion, three hundred eighty-five million, seven hundred forty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 41 50 52 65 82 100 104 130 164 200 205 260 325 328 410 520 533 650 820 1025 1066 1300 1640 2050 2132 2600 2665 4100 4264 5330 8200 10660 13325 21320 26650 53300 106600 116189 232378 464756 580945 929512 1161890 1510457 2323780 2904725 3020914 4647560 4763749 5809450 6041828 7552285 9527498 11618900 12083656 15104570 19054996 23237800 23818745 30209140 37761425 38109992 47637490 60418280 61928737 75522850 95274980 119093725 123857474 151045700 190549960 238187450 247714948 302091400 309643685 476374900 495429896 619287370 952749800 1238574740 1548218425 2477149480 3096436850 6192873700 12385747400