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75444314505157 = 1311816338977521
BaseRepresentation
bin10001001001110110111111…
…100100001111111111000101
3100220010101221222212101010101
4101021312333210033333011
534342034424003131112
6424242350053524101
721614446305255223
oct2111667744177705
9326111858771111
1075444314505157
1122047832788664
128565744343631
1333134a32b9390
14148b74a99db13
158ac72e294757
hex449dbf90ffc5

75444314505157 has 16 divisors (see below), whose sum is σ = 81318850809840. Its totient is φ = 69579942681600.

The previous prime is 75444314505139. The next prime is 75444314505191. The reversal of 75444314505157 is 75150541344457.

It can be written as a sum of positive squares in 8 ways, for example, as 49148229636 + 75395166275521 = 221694^2 + 8683039^2 .

It is a de Polignac number, because none of the positive numbers 2k-75444314505157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 75444314505098 and 75444314505107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75444314505127) 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, 973172557 + ... + 973250077.

It is an arithmetic number, because the mean of its divisors is an integer number (5082428175615).

Almost surely, 275444314505157 is an apocalyptic number.

It is an amenable number.

75444314505157 is a deficient number, since it is larger than the sum of its proper divisors (5874536304683).

75444314505157 is a wasteful number, since it uses less digits than its factorization.

75444314505157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142104.

The product of its (nonzero) digits is 23520000, while the sum is 55.

The spelling of 75444314505157 in words is "seventy-five trillion, four hundred forty-four billion, three hundred fourteen million, five hundred five thousand, one hundred fifty-seven".

Divisors: 1 13 1181 15353 63389 77521 824057 1007773 74862409 91552301 973211317 1190179913 4913978669 63881722697 5803408808089 75444314505157