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74299745040 = 24351015575503
BaseRepresentation
bin100010100110010011…
…1000010001100010000
321002210002002010012220
41011030213002030100
52204131213320130
654044405221040
75240134261323
oct1051447021420
9232702063186
1074299745040
11295682a6174
1212496a01780
1370111a7aa1
14384bab47ba
151decd44410
hex114c9c2310

74299745040 has 160 divisors (see below), whose sum is σ = 233069654016. Its totient is φ = 19578316800.

The previous prime is 74299745011. The next prime is 74299745059. The reversal of 74299745040 is 4054799247.

It is a super-2 number, since 2×742997450402 (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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13498929 + ... + 13504431.

Almost surely, 274299745040 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 74299745040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116534827008).

74299745040 is an abundant number, since it is smaller than the sum of its proper divisors (158769908976).

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

74299745040 is a wasteful number, since it uses less digits than its factorization.

74299745040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6177 (or 6171 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 74299745040 in words is "seventy-four billion, two hundred ninety-nine million, seven hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 557 606 808 1010 1114 1212 1515 1616 1671 2020 2228 2424 2785 3030 3342 4040 4456 4848 5503 5570 6060 6684 8080 8355 8912 11006 11140 12120 13368 16509 16710 22012 22280 24240 26736 27515 33018 33420 44024 44560 55030 56257 66036 66840 82545 88048 110060 112514 132072 133680 165090 168771 220120 225028 264144 281285 330180 337542 440240 450056 555803 562570 660360 675084 843855 900112 1111606 1125140 1320720 1350168 1667409 1687710 2223212 2250280 2700336 2779015 3065171 3334818 3375420 4446424 4500560 5558030 6130342 6669636 6750840 8337045 8892848 9195513 11116060 12260684 13339272 13501680 15325855 16674090 18391026 22232120 24521368 26678544 30651710 33348180 36782052 44464240 45977565 49042736 61303420 66696360 73564104 91955130 122606840 133392720 147128208 183910260 245213680 309582271 367820520 619164542 735641040 928746813 1238329084 1547911355 1857493626 2476658168 3095822710 3714987252 4643734065 4953316336 6191645420 7429974504 9287468130 12383290840 14859949008 18574936260 24766581680 37149872520 74299745040