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42810174129 = 31729317113151
BaseRepresentation
bin100111110111101011…
…110110101010110001
311002111111220011200210
4213313223312222301
51200133401033004
631400002334333
73043606322202
oct476753665261
9132444804623
1042810174129
11171792554a8
12836905a3a9
1340633326a8
1421018bd5a9
1511a8581089
hex9f7af6ab1

42810174129 has 64 divisors (see below), whose sum is σ = 65452769280. Its totient is φ = 24743040000.

The previous prime is 42810174101. The next prime is 42810174167. The reversal of 42810174129 is 92147101824.

It is not a de Polignac number, because 42810174129 - 212 = 42810170033 is a prime.

It is a super-2 number, since 2×428101741292 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42810174179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3248704 + ... + 3261854.

It is an arithmetic number, because the mean of its divisors is an integer number (1022699520).

Almost surely, 242810174129 is an apocalyptic number.

It is an amenable number.

42810174129 is a deficient number, since it is larger than the sum of its proper divisors (22642595151).

42810174129 is a wasteful number, since it uses less digits than its factorization.

42810174129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13302.

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 42810174129 in words is "forty-two billion, eight hundred ten million, one hundred seventy-four thousand, one hundred twenty-nine".

Divisors: 1 3 17 29 31 51 71 87 93 213 493 527 899 1207 1479 1581 2059 2201 2697 3621 6177 6603 13151 15283 35003 37417 39453 45849 63829 105009 112251 191487 223567 381379 407681 670701 933721 1085093 1144137 1223043 2801163 3255279 6483443 6930577 11822749 15873257 19450329 20791731 27077909 28945351 35468247 47619771 81233727 86836053 200986733 460324453 492070967 602960199 839415179 1380973359 1476212901 2518245537 14270058043 42810174129