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75436144163457 = 3721146651913521
BaseRepresentation
bin10001001001101111011000…
…100100110111101010000001
3100220002121212120221000100020
4101021233120210313222001
534341421210401212312
6424234515231044053
721614036655434100
oct2111573044675201
9326077776830306
1075436144163457
112204431a844a50
128564044070629
1333127a06a456c
14148b1b3834037
158ac401d4c78c
hex449bd8937a81

75436144163457 has 24 divisors (see below), whose sum is σ = 127639635396192. Its totient is φ = 39187607356800.

The previous prime is 75436144163449. The next prime is 75436144163467.

75436144163457 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75436144163457 - 23 = 75436144163449 is a prime.

It is a super-2 number, since 2×754361441634572 (a number of 29 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 75436144163457.

It is not an unprimeable number, because it can be changed into a prime (75436144163407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23325955144 + ... + 23325958377.

It is an arithmetic number, because the mean of its divisors is an integer number (5318318141508).

Almost surely, 275436144163457 is an apocalyptic number.

75436144163457 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

75436144163457 is a deficient number, since it is larger than the sum of its proper divisors (52203491232735).

75436144163457 is a wasteful number, since it uses less digits than its factorization.

75436144163457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46651913549 (or 46651913542 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 60.

The spelling of 75436144163457 in words is "seventy-five trillion, four hundred thirty-six billion, one hundred forty-four million, one hundred sixty-three thousand, four hundred fifty-seven".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 46651913521 139955740563 326563394647 513171048731 979690183941 1539513146193 2285943762529 3592197341117 6857831287587 10776592023351 25145381387819 75436144163457