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12148501640 = 2351126737463
BaseRepresentation
bin10110101000001101…
…10110110010001000
31011100122112211022012
423110012312302020
5144340004023030
65325252315052
7610023363062
oct132406666210
934318484265
1012148501640
115174570100
122430612a88
1311b7b5a712
14833636732
154b1806095
hex2d41b6c88

12148501640 has 96 divisors (see below), whose sum is σ = 30494197440. Its totient is φ = 4351585920.

The previous prime is 12148501627. The next prime is 12148501649. The reversal of 12148501640 is 4610584121.

It is a junction number, because it is equal to n+sod(n) for n = 12148501597 and 12148501606.

It is not an unprimeable number, because it can be changed into a prime (12148501649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305549 + ... + 343011.

It is an arithmetic number, because the mean of its divisors is an integer number (317647890).

Almost surely, 212148501640 is an apocalyptic number.

12148501640 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 12148501640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15247098720).

12148501640 is an abundant number, since it is smaller than the sum of its proper divisors (18345695800).

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

12148501640 is a wasteful number, since it uses less digits than its factorization.

12148501640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37563 (or 37548 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 12148501640 in words is "twelve billion, one hundred forty-eight million, five hundred one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 121 134 220 242 268 335 440 484 536 605 670 737 968 1210 1340 1474 2420 2680 2948 3685 4840 5896 7370 8107 14740 16214 29480 32428 37463 40535 64856 74926 81070 149852 162140 187315 299704 324280 374630 412093 749260 824186 1498520 1648372 2060465 2510021 3296744 4120930 4533023 5020042 8241860 9066046 10040084 12550105 16483720 18132092 20080168 22665115 25100210 27610231 36264184 45330230 50200420 55220462 90660460 100400840 110440924 138051155 181320920 220881848 276102310 303712541 552204620 607425082 1104409240 1214850164 1518562705 2429700328 3037125410 6074250820 12148501640