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12148549140 = 22357132225009
BaseRepresentation
bin10110101000001110…
…00010011000010100
31011100122122020110110
423110013002120110
5144340012033030
65325253323020
7610023651420
oct132407023024
934318566413
1012148549140
1151745a2862
122430636470
1311b7b76220
14833649b80
154b18151b0
hex2d41c2614

12148549140 has 96 divisors (see below), whose sum is σ = 41865788160. Its totient is φ = 2563209216.

The previous prime is 12148549103. The next prime is 12148549141. The reversal of 12148549140 is 4194584121.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12148549141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1107045 + ... + 1117964.

It is an arithmetic number, because the mean of its divisors is an integer number (436101960).

Almost surely, 212148549140 is an apocalyptic number.

12148549140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12148549140 is an abundant number, since it is smaller than the sum of its proper divisors (29717239020).

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

12148549140 is a wasteful number, since it uses less digits than its factorization.

12148549140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225041 (or 2225039 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 12148549140 in words is "twelve billion, one hundred forty-eight million, five hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 2225009 4450018 6675027 8900036 11125045 13350054 15575063 22250090 26700108 28925117 31150126 33375135 44500180 46725189 57850234 62300252 66750270 77875315 86775351 93450378 115700468 133500540 144625585 155750630 173550702 186900756 202475819 233625945 289251170 311501260 347101404 404951638 433876755 467251890 578502340 607427457 809903276 867753510 934503780 1012379095 1214854914 1735507020 2024758190 2429709828 3037137285 4049516380 6074274570 12148549140