Search a number
-
+
75469504512 = 21436125171
BaseRepresentation
bin100011001001001010…
…1010100000000000000
321012210121012001112210
41012102111110000000
52214030143121022
654400433222120
75311130126643
oct1062225240000
9235717161483
1075469504512
112a008627836
1212762701940
13716964195c
14391d1b1a5a
151e6a8a9a0c
hex1192554000

75469504512 has 120 divisors (see below), whose sum is σ = 204553109152. Its totient is φ = 24743116800.

The previous prime is 75469504507. The next prime is 75469504519. The reversal of 75469504512 is 21540596457.

It is a super-2 number, since 2×754695045122 (a number of 23 digits) contains 22 as substring.

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 (75469504519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2985687 + ... + 3010857.

Almost surely, 275469504512 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 75469504512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102276554576).

75469504512 is an abundant number, since it is smaller than the sum of its proper divisors (129083604640).

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

75469504512 is an equidigital number, since it uses as much as digits as its factorization.

75469504512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25263 (or 25237 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 75469504512 in words is "seventy-five billion, four hundred sixty-nine million, five hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1024 1464 1536 1952 2048 2928 3072 3904 4096 5856 6144 7808 8192 11712 12288 15616 16384 23424 24576 25171 31232 46848 49152 50342 62464 75513 93696 100684 124928 151026 187392 201368 249856 302052 374784 402736 499712 604104 749568 805472 999424 1208208 1499136 1535431 1610944 2416416 2998272 3070862 3221888 4606293 4832832 6141724 6443776 9212586 9665664 12283448 12887552 18425172 19331328 24566896 25775104 36850344 38662656 49133792 51550208 73700688 77325312 98267584 103100416 147401376 154650624 196535168 206200832 294802752 309301248 393070336 412401664 589605504 618602496 786140672 1179211008 1237204992 1572281344 2358422016 3144562688 4716844032 6289125376 9433688064 12578250752 18867376128 25156501504 37734752256 75469504512