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74428569856 = 28174592
BaseRepresentation
bin100010101010001001…
…0011101100100000000
321010010001111002122101
41011110102131210000
52204412203213411
654105250320144
75243260256014
oct1052422354400
9233101432571
1074428569856
1129623a95163
1212511b89054
137031aa16a4
143860c4a544
151e092de8c1
hex115449d900

74428569856 has 135 divisors (see below), whose sum is σ = 160572491191. Its totient is φ = 34431561728.

The previous prime is 74428569827. The next prime is 74428569863. The reversal of 74428569856 is 65896582447.

The square root of 74428569856 is 272816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 23099136256 + 51329433600 = 151984^2 + 226560^2 .

It is a super-2 number, since 2×744285698562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 1261501155 + ... + 1261501213.

Almost surely, 274428569856 is an apocalyptic number.

74428569856 is the 272816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74428569856

74428569856 is an abundant number, since it is smaller than the sum of its proper divisors (86143921335).

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

74428569856 is an frugal number, since it uses more digits than its factorization.

74428569856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 78 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 64.

Multiplying 74428569856 by its sum of digits (64), we get a square (4763428470784 = 21825282).

74428569856 divided by its sum of digits (64) gives a square (1162946404 = 341022).

The spelling of 74428569856 in words is "seventy-four billion, four hundred twenty-eight million, five hundred sixty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 128 136 236 256 272 289 472 544 578 944 1003 1088 1156 1888 2006 2176 2312 3481 3776 4012 4352 4624 4913 6962 7552 8024 9248 9826 13924 15104 16048 17051 18496 19652 27848 32096 34102 36992 39304 55696 59177 64192 68204 73984 78608 83521 111392 118354 128384 136408 157216 167042 222784 236708 256768 272816 289867 314432 334084 445568 473416 545632 579734 628864 668168 891136 946832 1006009 1091264 1159468 1257728 1336336 1893664 2012018 2182528 2318936 2672672 3787328 4024036 4365056 4637872 4927739 5345344 7574656 8048072 9275744 9855478 10690688 15149312 16096144 17102153 18551488 19710956 21381376 32192288 34204306 37102976 39421912 64384576 68408612 74205952 78843824 128769152 136817224 157687648 257538304 273634448 290736601 315375296 547268896 581473202 630750592 1094537792 1162946404 1261501184 2189075584 2325892808 4378151168 4651785616 9303571232 18607142464 37214284928 74428569856