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74978940128 = 25311814091021
BaseRepresentation
bin100010111010100010…
…1111101010011100000
321011112102002210201112
41011311011331103200
52212024102041003
654240030522452
75263022322041
oct1056505752340
9234472083645
1074978940128
1129886725524
1212646366428
1370bbb11581
1438b3d948c8
151e3c7a73d8
hex117517d4e0

74978940128 has 96 divisors (see below), whose sum is σ = 153743466240. Its totient is φ = 35956224000.

The previous prime is 74978940107. The next prime is 74978940131. The reversal of 74978940128 is 82104987947.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73436258 + ... + 73437278.

It is an arithmetic number, because the mean of its divisors is an integer number (1601494440).

Almost surely, 274978940128 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 74978940128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76871733120).

74978940128 is an abundant number, since it is smaller than the sum of its proper divisors (78764526112).

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

74978940128 is a wasteful number, since it uses less digits than its factorization.

74978940128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 59.

The spelling of 74978940128 in words is "seventy-four billion, nine hundred seventy-eight million, nine hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 181 248 362 409 496 724 818 992 1021 1448 1636 2042 2896 3272 4084 5611 5792 6544 8168 11222 12679 13088 16336 22444 25358 31651 32672 44888 50716 63302 74029 89776 101432 126604 148058 179552 184801 202864 253208 296116 369602 405728 417589 506416 592232 739204 835178 1012832 1184464 1478408 1670356 2294899 2368928 2956816 3340712 4589798 5728831 5913632 6681424 9179596 11457662 12945259 13362848 18359192 22915324 25890518 36718384 45830648 51781036 73436768 75583609 91661296 103562072 151167218 183322592 207124144 302334436 414248288 604668872 1209337744 2343091879 2418675488 4686183758 9372367516 18744735032 37489470064 74978940128