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8074135412 = 2273741433439
BaseRepresentation
bin1111000010100000…
…11000011101110100
3202211200220120120022
413201100120131310
5113013434313122
63413104424312
7404041006250
oct74120303564
922750816508
108074135412
113473703492
121694018098
139b89cc025
14568485260
15323c91642
hex1e1418774

8074135412 has 96 divisors (see below), whose sum is σ = 17067240960. Its totient is φ = 3269652480.

The previous prime is 8074135403. The next prime is 8074135439. The reversal of 8074135412 is 2145314708.

It is a congruent number.

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, 18391889 + ... + 18392327.

It is an arithmetic number, because the mean of its divisors is an integer number (177783760).

Almost surely, 28074135412 is an apocalyptic number.

8074135412 is a gapful number since it is divisible by the number (82) 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 8074135412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8533620480).

8074135412 is an abundant number, since it is smaller than the sum of its proper divisors (8993105548).

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

8074135412 is a wasteful number, since it uses less digits than its factorization.

8074135412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 8074135412 is about 89856.1929529623. The cubic root of 8074135412 is about 2006.1589651055.

The spelling of 8074135412 in words is "eight billion, seventy-four million, one hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 37 41 74 82 148 164 259 287 433 439 518 574 866 878 1036 1148 1517 1732 1756 3031 3034 3073 6062 6068 6146 10619 12124 12292 16021 16243 17753 17999 21238 32042 32486 35506 35998 42476 64084 64972 71012 71996 112147 113701 124271 125993 190087 224294 227402 248542 251986 380174 448588 454804 497084 503972 656861 665963 760348 1313722 1330609 1331926 2627444 2661218 2663852 4598027 4661741 5322436 7033219 7793567 9196054 9323482 14066438 15587134 18392108 18646964 28132876 31174268 49232533 54554969 98465066 109109938 196930132 218219876 288361979 576723958 1153447916 2018533853 4037067706 8074135412