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74933039916 = 223273159162577
BaseRepresentation
bin100010111001001011…
…0110111001100101100
321011102012201211110200
41011302112313030230
52211430324234131
654231311033500
75261624221140
oct1056226671454
9234365654420
1074933039916
1129862824a69
1212632b0b890
1370b2460297
1438abc47220
151e3873c2e6
hex11725b732c

74933039916 has 144 divisors (see below), whose sum is σ = 227245025280. Its totient is φ = 20367521280.

The previous prime is 74933039899. The next prime is 74933039921. The reversal of 74933039916 is 61993033947.

74933039916 is a `hidden beast` number, since 7 + 493 + 30 + 39 + 91 + 6 = 666.

It is a super-2 number, since 2×749330399162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379620 + ... + 542196.

Almost surely, 274933039916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74933039916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113622512640).

74933039916 is an abundant number, since it is smaller than the sum of its proper divisors (152311985364).

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

74933039916 is a wasteful number, since it uses less digits than its factorization.

74933039916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162684 (or 162679 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The spelling of 74933039916 in words is "seventy-four billion, nine hundred thirty-three million, thirty-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 59 62 63 84 93 118 124 126 177 186 217 236 252 279 354 372 413 434 531 558 651 708 826 868 1062 1116 1239 1302 1652 1829 1953 2124 2478 2604 3658 3717 3906 4956 5487 7316 7434 7812 10974 12803 14868 16461 21948 25606 32922 38409 51212 65844 76818 115227 153636 162577 230454 325154 460908 487731 650308 975462 1138039 1463193 1950924 2276078 2926386 3414117 4552156 5039887 5852772 6828234 9592043 10079774 10242351 13656468 15119661 19184086 20159548 20484702 28776129 30239322 35279209 38368172 40969404 45358983 57552258 60478644 67144301 70558418 86328387 90717966 105837627 115104516 134288602 141116836 172656774 181435932 201432903 211675254 268577204 297353333 317512881 345313548 402865806 423350508 594706666 604298709 635025762 805731612 892059999 1189413332 1208597418 1270051524 1784119998 2081473331 2417194836 2676179997 3568239996 4162946662 5352359994 6244419993 8325893324 10704719988 12488839986 18733259979 24977679972 37466519958 74933039916