Search a number
-
+
75467886216 = 23329151171761
BaseRepresentation
bin100011001001000111…
…1001000111010001000
321012210111010211122220
41012102033020322020
52214024234324331
654400334414040
75311110306612
oct1062217107210
9235714124586
1075467886216
112a0077219a8
1212762061320
1371691c6198
14391ccaddb2
151e6a68a296
hex11923c8e88

75467886216 has 64 divisors (see below), whose sum is σ = 195307459200. Its totient is φ = 24272102400.

The previous prime is 75467886211. The next prime is 75467886223. The reversal of 75467886216 is 61268876457.

It is a super-2 number, since 2×754678862162 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 75467886216.

It is not an unprimeable number, because it can be changed into a prime (75467886211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015776 + ... + 1087536.

It is an arithmetic number, because the mean of its divisors is an integer number (3051679050).

Almost surely, 275467886216 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 75467886216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97653729600).

75467886216 is an abundant number, since it is smaller than the sum of its proper divisors (119839572984).

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

75467886216 is a wasteful number, since it uses less digits than its factorization.

75467886216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73310 (or 73306 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 60.

The spelling of 75467886216 in words is "seventy-five billion, four hundred sixty-seven million, eight hundred eighty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1511 3022 4533 6044 9066 12088 18132 36264 43819 71761 87638 131457 143522 175276 215283 262914 287044 350552 430566 525828 574088 861132 1051656 1722264 2081069 4162138 6243207 8324276 12486414 16648552 24972828 49945656 108430871 216861742 325292613 433723484 650585226 867446968 1301170452 2602340904 3144495259 6288990518 9433485777 12577981036 18866971554 25155962072 37733943108 75467886216