Search a number
-
+
42075491637465 = 325111318136124519
BaseRepresentation
bin10011001000100011101101…
…01110111001100011011001
312111222101012100121101112100
421210101312232321203121
521003331101324344330
6225253114121034013
711601565622633226
oct1144216656714331
9174871170541470
1042075491637465
111245213013a490
124876619025909
131a62917c1c9b0
14a5667105c94d
154ce7304c7060
hex264476bb98d9

42075491637465 has 96 divisors (see below), whose sum is σ = 86154379234560. Its totient is φ = 18726950131200.

The previous prime is 42075491637427. The next prime is 42075491637469. The reversal of 42075491637465 is 56473619457024.

42075491637465 is a `hidden beast` number, since 4 + 2 + 0 + 7 + 5 + 4 + 9 + 163 + 7 + 465 = 666.

It is not a de Polignac number, because 42075491637465 - 26 = 42075491637401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42075491637469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16897525 + ... + 19226994.

It is an arithmetic number, because the mean of its divisors is an integer number (897441450360).

Almost surely, 242075491637465 is an apocalyptic number.

42075491637465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42075491637465 is an abundant number, since it is smaller than the sum of its proper divisors (44078887597095).

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

42075491637465 is a wasteful number, since it uses less digits than its factorization.

42075491637465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36124735 (or 36124732 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 42075491637465 in words is "forty-two trillion, seventy-five billion, four hundred ninety-one million, six hundred thirty-seven thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 181 195 429 495 543 585 715 905 1287 1629 1991 2145 2353 2715 5973 6435 7059 8145 9955 11765 17919 21177 25883 29865 35295 77649 89595 105885 129415 232947 388245 1164735 36124519 108373557 180622595 325120671 397369709 469618747 541867785 1192109127 1408856241 1625603355 1986848545 2348093735 3576327381 4226568723 5165806217 5960545635 6538537939 7044281205 15497418651 17881636905 19615613817 21132843615 25829031085 32692689695 46492255953 58846841451 71923917329 77487093255 85000993207 98078069085 215771751987 232461279765 255002979621 294234207255 359619586645 425004966035 647315255961 765008938863 935010925277 1078858759935 1275014898105 2805032775831 3236576279805 3825044694315 4675054626385 8415098327493 14025163879155 42075491637465