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42129105774 = 2377313740739
BaseRepresentation
bin100111001111000101…
…110010001101101110
311000202001100022112220
4213033011302031232
51142240022341044
631204232540210
73020666330160
oct471705621556
9130661308486
1042129105774
1116959866798
1281b8b51666
133c851c1372
142079272930
15116889d019
hex9cf17236e

42129105774 has 32 divisors (see below), whose sum is σ = 97614216960. Its totient is φ = 11871997632.

The previous prime is 42129105769. The next prime is 42129105779. The reversal of 42129105774 is 47750192124.

It is an interprime number because it is at equal distance from previous prime (42129105769) and next prime (42129105779).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42129105779) 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, 6867304 + ... + 6873435.

It is an arithmetic number, because the mean of its divisors is an integer number (3050444280).

Almost surely, 242129105774 is an apocalyptic number.

42129105774 is an abundant number, since it is smaller than the sum of its proper divisors (55485111186).

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

42129105774 is a wasteful number, since it uses less digits than its factorization.

42129105774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13740824.

The product of its (nonzero) digits is 141120, while the sum is 42.

Adding to 42129105774 its reverse (47750192124), we get a palindrome (89879297898).

The spelling of 42129105774 in words is "forty-two billion, one hundred twenty-nine million, one hundred five thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1533 3066 13740739 27481478 41222217 82444434 96185173 192370346 288555519 577111038 1003073947 2006147894 3009221841 6018443682 7021517629 14043035258 21064552887 42129105774