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60344297874 = 2327312539403
BaseRepresentation
bin111000001100110011…
…001110100110010010
312202202111102221122100
4320030303032212102
51442041120012444
643415523421230
74234250032410
oct701463164622
9182674387570
1060344297874
1123656868163
12b841224816
1358c8b97b43
142cc64b82b0
151882ab1e69
hexe0ccce992

60344297874 has 144 divisors (see below), whose sum is σ = 157329521856. Its totient is φ = 16368505920.

The previous prime is 60344297861. The next prime is 60344297879. The reversal of 60344297874 is 47879244306.

60344297874 is a `hidden beast` number, since 6 + 0 + 344 + 297 + 8 + 7 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 60344297874.

It is not an unprimeable number, because it can be changed into a prime (60344297879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6412857 + ... + 6422259.

It is an arithmetic number, because the mean of its divisors is an integer number (1092566124).

Almost surely, 260344297874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60344297874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78664760928).

60344297874 is an abundant number, since it is smaller than the sum of its proper divisors (96985223982).

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

60344297874 is a wasteful number, since it uses less digits than its factorization.

60344297874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533 (or 9499 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 60344297874 in words is "sixty billion, three hundred forty-four million, two hundred ninety-seven thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 53 62 63 93 106 126 159 186 217 279 318 371 434 477 558 651 742 954 961 1113 1302 1643 1922 1953 2226 2883 3286 3339 3906 4929 5766 6678 6727 8649 9403 9858 11501 13454 14787 17298 18806 20181 23002 28209 29574 34503 40362 50933 56418 60543 65821 69006 84627 101866 103509 121086 131642 152799 169254 197463 207018 291493 305598 356531 394926 458397 498359 582986 592389 713062 874479 916794 996718 1069593 1184778 1495077 1748958 2040451 2139186 2623437 2990154 3208779 3488513 4080902 4485231 5246874 6121353 6417558 6977026 8970462 9036283 10465539 12242706 15449129 18072566 18364059 20931078 27108849 30898258 31396617 36728118 46347387 54217698 62793234 63253981 81326547 92694774 108143903 126507962 139042161 162653094 189761943 216287806 278084322 324431709 379523886 478922999 569285829 648863418 957845998 973295127 1138571658 1436768997 1946590254 2873537994 3352460993 4310306991 6704921986 8620613982 10057382979 20114765958 30172148937 60344297874