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12410894080 = 285136112227
BaseRepresentation
bin10111000111011111…
…10011011100000000
31012000221021202001201
423203233303130000
5200404142102310
65411304310544
7616360600444
oct134357633400
935027252051
1012410894080
115299698462
1224a4472454
13122a31b910
1485a41a824
154c9886e3a
hex2e3bf3700

12410894080 has 144 divisors (see below), whose sum is σ = 32542229664. Its totient is φ = 4506992640.

The previous prime is 12410894071. The next prime is 12410894087. The reversal of 12410894080 is 8049801421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12410894087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008927 + ... + 1021153.

It is an arithmetic number, because the mean of its divisors is an integer number (225987706).

Almost surely, 212410894080 is an apocalyptic number.

12410894080 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 12410894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16271114832).

12410894080 is an abundant number, since it is smaller than the sum of its proper divisors (20131335584).

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

12410894080 is a wasteful number, since it uses less digits than its factorization.

12410894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12322 (or 12308 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 12410894080 in words is "twelve billion, four hundred ten million, eight hundred ninety-four thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 61 64 65 80 104 122 128 130 160 208 244 256 260 305 320 416 488 520 610 640 793 832 976 1040 1220 1280 1586 1664 1952 2080 2440 3172 3328 3904 3965 4160 4880 6344 7808 7930 8320 9760 12227 12688 15616 15860 16640 19520 24454 25376 31720 39040 48908 50752 61135 63440 78080 97816 101504 122270 126880 158951 195632 203008 244540 253760 317902 391264 489080 507520 635804 745847 782528 794755 978160 1015040 1271608 1491694 1565056 1589510 1956320 2543216 2983388 3130112 3179020 3729235 3912640 5086432 5966776 6358040 7458470 7825280 9696011 10172864 11933552 12716080 14916940 15650560 19392022 20345728 23867104 25432160 29833880 38784044 40691456 47734208 48480055 50864320 59667760 77568088 95468416 96960110 101728640 119335520 155136176 190936832 193920220 203457280 238671040 310272352 387840440 477342080 620544704 775680880 954684160 1241089408 1551361760 2482178816 3102723520 6205447040 12410894080