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6112681120 = 255713419827
BaseRepresentation
bin1011011000101100…
…00001110010100000
3120210000002101010001
411230112001302200
5100004321243440
62450315545344
7304322634520
oct55426016240
916700071101
106112681120
1126574a3887
12122715b254
1376552c5a0
1441db81680
1525b994b9a
hex16c581ca0

6112681120 has 96 divisors (see below), whose sum is σ = 17773838208. Its totient is φ = 1934558208.

The previous prime is 6112681073. The next prime is 6112681123. The reversal of 6112681120 is 211862116.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (6112681123) 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 15 ways as a sum of consecutive naturals, for example, 195354 + ... + 224473.

It is an arithmetic number, because the mean of its divisors is an integer number (185144148).

Almost surely, 26112681120 is an apocalyptic number.

It is an amenable number.

6112681120 is an abundant number, since it is smaller than the sum of its proper divisors (11661157088).

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

6112681120 is a wasteful number, since it uses less digits than its factorization.

6112681120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419862 (or 419854 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 6112681120 is about 78183.6371627721. The cubic root of 6112681120 is about 1828.4254045874.

The spelling of 6112681120 in words is "six billion, one hundred twelve million, six hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 419827 839654 1679308 2099135 2938789 3358616 4198270 5457751 5877578 6717232 8396540 10915502 11755156 13434464 14693945 16793080 21831004 23510312 27288755 29387890 33586160 38204257 43662008 47020624 54577510 58775780 67172320 76408514 87324016 94041248 109155020 117551560 152817028 174648032 191021285 218310040 235103120 305634056 382042570 436620080 470206240 611268112 764085140 873240160 1222536224 1528170280 3056340560 6112681120