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42255146577 = 37191576311069
BaseRepresentation
bin100111010110100110…
…100101111001010001
311001001211111212000210
4213112212211321101
51143014304142302
631224534234333
73024056551110
oct472646457121
9131054455023
1042255146577
1116a13a24046
1282331b59a9
133ca5351a17
14208bcc1c77
15117499866c
hex9d69a5e51

42255146577 has 64 divisors (see below), whose sum is σ = 68381388800. Its totient is φ = 22672016640.

The previous prime is 42255146573. The next prime is 42255146579. The reversal of 42255146577 is 77564155224.

It is not a de Polignac number, because 42255146577 - 22 = 42255146573 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42255146573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39527199 + ... + 39528267.

It is an arithmetic number, because the mean of its divisors is an integer number (1068459200).

Almost surely, 242255146577 is an apocalyptic number.

It is an amenable number.

42255146577 is a deficient number, since it is larger than the sum of its proper divisors (26126242223).

42255146577 is a wasteful number, since it uses less digits than its factorization.

42255146577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886.

The product of its digits is 2352000, while the sum is 48.

The spelling of 42255146577 in words is "forty-two billion, two hundred fifty-five million, one hundred forty-six thousand, five hundred seventy-seven".

Divisors: 1 3 7 19 21 57 133 157 399 471 631 1069 1099 1893 2983 3207 3297 4417 7483 8949 11989 13251 20311 20881 22449 35967 60933 62643 83923 99067 142177 167833 251769 297201 426531 503499 674539 693469 1174831 1882273 2023617 2080407 3188827 3524493 4721773 5646819 9566481 12816241 13175911 14165319 22321789 38448723 39527733 66965367 89713687 105902623 269141061 317707869 741318361 2012149837 2223955083 6036449511 14085048859 42255146577