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75244474968 = 233133155713967
BaseRepresentation
bin100011000010011101…
…0111001001001011000
321012012220202101001020
41012010322321021120
52213100041144333
654322234122440
75302425325065
oct1060472711130
9235186671036
1075244474968
1129a025a9803
12126bb280420
137131b32b90
1438db355c6c
151e55c593b3
hex1184eb9258

75244474968 has 128 divisors (see below), whose sum is σ = 209506590720. Its totient is φ = 22363476480.

The previous prime is 75244474967. The next prime is 75244474997. The reversal of 75244474968 is 86947444257.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75244474961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5380321 + ... + 5394287.

It is an arithmetic number, because the mean of its divisors is an integer number (1636770240).

Almost surely, 275244474968 is an apocalyptic number.

75244474968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75244474968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104753295360).

75244474968 is an abundant number, since it is smaller than the sum of its proper divisors (134262115752).

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

75244474968 is a wasteful number, since it uses less digits than its factorization.

75244474968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14577 (or 14573 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 60.

The spelling of 75244474968 in words is "seventy-five billion, two hundred forty-four million, four hundred seventy-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 557 744 806 1114 1209 1612 1671 2228 2418 3224 3342 4456 4836 6684 7241 9672 13368 13967 14482 17267 21723 27934 28964 34534 41901 43446 51801 55868 57928 69068 83802 86892 103602 111736 138136 167604 173784 181571 207204 224471 335208 363142 414408 432977 448942 544713 673413 726284 865954 897884 1089426 1298931 1346826 1452568 1731908 1795768 2178852 2597862 2693652 3463816 4357704 5195724 5387304 5628701 7779619 10391448 11257402 15559238 16886103 22514804 23338857 31118476 33772206 45029608 46677714 62236952 67544412 93355428 101135047 135088824 186710856 202270094 241168189 303405141 404540188 482336378 606810282 723504567 809080376 964672756 1213620564 1447009134 1929345512 2427241128 2894018268 3135186457 5788036536 6270372914 9405559371 12540745828 18811118742 25081491656 37622237484 75244474968