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12491783928 = 23331319234139
BaseRepresentation
bin10111010001001000…
…10111111011111000
31012020120111101002000
423220210113323320
5201040344041203
65423314141000
7621362261061
oct135044277370
935216441060
1012491783928
115330317178
122507581760
131241001030
14867075568
154d1a144a3
hex2e8917ef8

12491783928 has 128 divisors (see below), whose sum is σ = 39335520000. Its totient is φ = 3641314176.

The previous prime is 12491783879. The next prime is 12491783977. The reversal of 12491783928 is 82938719421.

12491783928 is a `hidden beast` number, since 1 + 249 + 1 + 7 + 8 + 392 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12491783879) and next prime (12491783977).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 63718 + ... + 170421.

It is an arithmetic number, because the mean of its divisors is an integer number (307308750).

Almost surely, 212491783928 is an apocalyptic number.

12491783928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12491783928 is an abundant number, since it is smaller than the sum of its proper divisors (26843736072).

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

12491783928 is a wasteful number, since it uses less digits than its factorization.

12491783928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234186 (or 234176 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 12491783928 in words is "twelve billion, four hundred ninety-one million, seven hundred eighty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1368 1404 1482 1976 2052 2223 2808 2964 4104 4446 5928 6669 8892 13338 17784 26676 53352 234139 468278 702417 936556 1404834 1873112 2107251 2809668 3043807 4214502 4448641 5619336 6087614 6321753 8429004 8897282 9131421 12175228 12643506 13345923 16858008 17794564 18262842 24350456 25287012 26691846 27394263 35589128 36525684 40037769 50574024 53383692 54788526 57832333 73051368 80075538 82182789 106767384 109577052 115664666 120113307 160151076 164365578 173496999 219154104 231329332 240226614 320302152 328731156 346993998 462658664 480453228 520490997 657462312 693987996 960906456 1040981994 1387975992 1561472991 2081963988 3122945982 4163927976 6245891964 12491783928