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74505541728 = 253592222953
BaseRepresentation
bin100010101100011100…
…0000101100001100000
321010022102022200012110
41011120320011201200
52210041404313403
654121040155320
75245213440552
oct1053070054140
9233272280173
1074505541728
1129663488282
1212533908b40
137044a11687
14386b1654d2
151e10e46103
hex1158e05860

74505541728 has 72 divisors (see below), whose sum is σ = 198948988728. Its totient is φ = 24414135808.

The previous prime is 74505541723. The next prime is 74505541769. The reversal of 74505541728 is 82714550547.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74505541723) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 222700 + ... + 445652.

It is an arithmetic number, because the mean of its divisors is an integer number (2763180399).

Almost surely, 274505541728 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 74505541728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99474494364).

74505541728 is an abundant number, since it is smaller than the sum of its proper divisors (124443447000).

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

74505541728 is a wasteful number, since it uses less digits than its factorization.

74505541728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223084 (or 223017 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 48.

The spelling of 74505541728 in words is "seventy-four billion, five hundred five million, five hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 3481 5664 6962 10443 13924 20886 27848 41772 55696 83544 111392 167088 222953 334176 445906 668859 891812 1337718 1783624 2675436 3567248 5350872 7134496 10701744 13154227 21403488 26308454 39462681 52616908 78925362 105233816 157850724 210467632 315701448 420935264 631402896 776099393 1262805792 1552198786 2328298179 3104397572 4656596358 6208795144 9313192716 12417590288 18626385432 24835180576 37252770864 74505541728