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75803866369 = 72111492813359
BaseRepresentation
bin100011010011001000…
…0110011010100000001
321020122220100101210021
41012212100303110001
52220221242210434
654453535533441
75322330142600
oct1064620632401
9236586311707
1075803866369
112a16a340850
121283668a281
1371c09b0bca
14395176ba37
151e89e04cb4
hex11a6433501

75803866369 has 48 divisors (see below), whose sum is σ = 97215552000. Its totient is φ = 58445318400.

The previous prime is 75803866361. The next prime is 75803866381. The reversal of 75803866369 is 96366830857.

It is a happy number.

It is not a de Polignac number, because 75803866369 - 23 = 75803866361 is a prime.

It is a super-2 number, since 2×758038663692 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (75803866361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22565712 + ... + 22569070.

It is an arithmetic number, because the mean of its divisors is an integer number (2025324000).

Almost surely, 275803866369 is an apocalyptic number.

It is an amenable number.

75803866369 is a deficient number, since it is larger than the sum of its proper divisors (21411685631).

75803866369 is a wasteful number, since it uses less digits than its factorization.

75803866369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 61.

The spelling of 75803866369 in words is "seventy-five billion, eight hundred three million, eight hundred sixty-six thousand, three hundred sixty-nine".

Divisors: 1 7 11 49 77 149 281 539 1043 1639 1967 3091 3359 7301 11473 13769 21637 23513 36949 41869 80311 151459 164591 258643 293083 460559 500491 943879 1810501 2051581 3223913 3503437 5505401 6607153 10382669 22567391 24524059 38537807 46250071 72678683 140637971 269764649 508750781 984465797 1547017681 6891260579 10829123767 75803866369