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74444456496 = 24329272919597
BaseRepresentation
bin100010101010100111…
…1000100001000110000
321010011011101020000110
41011111033010020300
52204430240101441
654111015021320
75243542303524
oct1052517041060
9233134336013
1074444456496
1129631a56013
121251736a840
137035174777
143862dc3d84
151e0a8cbb16
hex11553c4230

74444456496 has 80 divisors (see below), whose sum is σ = 199029448800. Its totient is φ = 23949133824.

The previous prime is 74444456483. The next prime is 74444456501. The reversal of 74444456496 is 69465444447.

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, 3788970 + ... + 3808566.

It is an arithmetic number, because the mean of its divisors is an integer number (2487868110).

Almost surely, 274444456496 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 74444456496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99514724400).

74444456496 is an abundant number, since it is smaller than the sum of its proper divisors (124584992304).

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

74444456496 is a wasteful number, since it uses less digits than its factorization.

74444456496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22366 (or 22360 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 57.

The spelling of 74444456496 in words is "seventy-four billion, four hundred forty-four million, four hundred fifty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 2729 5458 8187 10916 16374 19597 21832 32748 39194 43664 58791 65496 78388 79141 117582 130992 156776 158282 235164 237423 313552 316564 470328 474846 568313 633128 940656 949692 1136626 1266256 1704939 1899384 2273252 3409878 3798768 4546504 6819756 9093008 13639512 27279024 53480213 106960426 160440639 213920852 320881278 427841704 641762556 855683408 1283525112 1550926177 2567050224 3101852354 4652778531 6203704708 9305557062 12407409416 18611114124 24814818832 37222228248 74444456496