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12448976940 = 2233582927809
BaseRepresentation
bin10111001100000010…
…00101000000101100
31012010120221112221000
423212001011000230
5200443414230230
65415144440300
7620332362261
oct134601050054
935116845830
1012448976940
1153091396a4
1224b5179090
13123519395a
148614d1268
154ccdaab60
hex2e604502c

12448976940 has 96 divisors (see below), whose sum is σ = 38778264000. Its totient is φ = 3315603456.

The previous prime is 12448976933. The next prime is 12448976951. The reversal of 12448976940 is 4967984421.

12448976940 is a `hidden beast` number, since 1 + 2 + 4 + 489 + 76 + 94 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433756 + ... + 461564.

It is an arithmetic number, because the mean of its divisors is an integer number (403940250).

Almost surely, 212448976940 is an apocalyptic number.

12448976940 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 12448976940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19389132000).

12448976940 is an abundant number, since it is smaller than the sum of its proper divisors (26329287060).

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

12448976940 is a wasteful number, since it uses less digits than its factorization.

12448976940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28656 (or 28648 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12448976940 in words is "twelve billion, four hundred forty-eight million, nine hundred seventy-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 829 1658 2487 3316 4145 4974 7461 8290 9948 12435 14922 16580 22383 24870 27809 29844 37305 44766 49740 55618 74610 83427 89532 111236 111915 139045 149220 166854 223830 250281 278090 333708 417135 447660 500562 556180 750843 834270 1001124 1251405 1501686 1668540 2502810 3003372 3754215 5005620 7508430 15016860 23053661 46107322 69160983 92214644 115268305 138321966 207482949 230536610 276643932 345804915 414965898 461073220 622448847 691609830 829931796 1037414745 1244897694 1383219660 2074829490 2489795388 3112244235 4149658980 6224488470 12448976940