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12153059840 = 295149151211
BaseRepresentation
bin10110101000110000…
…01111101000000000
31011100222010101222102
423110120033220000
5144342140403330
65325534125532
7610110206225
oct132430175000
934328111872
1012153059840
1151770a3809
1224320508a8
1311b8a9538c
148340a194c
154b1e06945
hex2d460fa00

12153059840 has 160 divisors (see below), whose sum is σ = 29668636800. Its totient is φ = 4773888000.

The previous prime is 12153059833. The next prime is 12153059881. The reversal of 12153059840 is 4895035121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 12153059794 and 12153059803.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57597335 + ... + 57597545.

It is an arithmetic number, because the mean of its divisors is an integer number (185428980).

Almost surely, 212153059840 is an apocalyptic number.

12153059840 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 12153059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14834318400).

12153059840 is an abundant number, since it is smaller than the sum of its proper divisors (17515576960).

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

12153059840 is a wasteful number, since it uses less digits than its factorization.

12153059840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 12153059840 in words is "twelve billion, one hundred fifty-three million, fifty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 151 160 211 256 298 302 320 422 512 596 604 640 745 755 844 1055 1192 1208 1280 1490 1510 1688 2110 2384 2416 2560 2980 3020 3376 4220 4768 4832 5960 6040 6752 8440 9536 9664 11920 12080 13504 16880 19072 19328 22499 23840 24160 27008 31439 31861 33760 38144 38656 44998 47680 48320 54016 62878 63722 67520 76288 77312 89996 95360 96640 108032 112495 125756 127444 135040 157195 159305 179992 190720 193280 224990 251512 254888 270080 314390 318610 359984 381440 386560 449980 503024 509776 540160 628780 637220 719968 899960 1006048 1019552 1257560 1274440 1439936 1799920 2012096 2039104 2515120 2548880 2879872 3599840 4024192 4078208 4747289 5030240 5097760 5759744 7199680 8048384 8156416 9494578 10060480 10195520 11519488 14399360 16096768 16312832 18989156 20120960 20391040 23736445 28798720 37978312 40241920 40782080 47472890 57597440 75956624 80483840 81564160 94945780 151913248 189891560 303826496 379783120 607652992 759566240 1215305984 1519132480 2430611968 3038264960 6076529920 12153059840