Search a number
-
+
75801099552 = 2531994498837
BaseRepresentation
bin100011010011000011…
…0001111110100100000
321020122201010211102120
41012212012033310200
52220220040141202
654453400344240
75322264500223
oct1064606176440
9236581124376
1075801099552
112a168821022
1212835775080
1371c0252739
14395124b5ba
151e89a5a0bc
hex11a618fd20

75801099552 has 96 divisors (see below), whose sum is σ = 200445840000. Its totient is φ = 25081233408.

The previous prime is 75801099509. The next prime is 75801099559. The reversal of 75801099552 is 25599010857.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 75801099495 and 75801099504.

It is not an unprimeable number, because it can be changed into a prime (75801099559) 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, 8573278 + ... + 8582114.

It is an arithmetic number, because the mean of its divisors is an integer number (2087977500).

Almost surely, 275801099552 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 75801099552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100222920000).

75801099552 is an abundant number, since it is smaller than the sum of its proper divisors (124644740448).

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

75801099552 is a wasteful number, since it uses less digits than its factorization.

75801099552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9498 (or 9490 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 51.

The spelling of 75801099552 in words is "seventy-five billion, eight hundred one million, ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 449 597 796 898 1194 1347 1592 1796 2388 2694 3184 3592 4776 5388 6368 7184 8837 9552 10776 14368 17674 19104 21552 26511 35348 43104 53022 70696 89351 106044 141392 178702 212088 268053 282784 357404 424176 536106 714808 848352 1072212 1429616 1758563 2144424 2859232 3517126 3967813 4288848 5275689 7034252 7935626 8577696 10551378 11903439 14068504 15871252 21102756 23806878 28137008 31742504 42205512 47613756 56274016 63485008 84411024 95227512 126970016 168822048 190455024 380910048 789594787 1579189574 2368784361 3158379148 4737568722 6316758296 9475137444 12633516592 18950274888 25267033184 37900549776 75801099552