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42419733752 = 23112172577767
BaseRepresentation
bin100111100000011010…
…011100010011111000
311001111022012202012002
4213200122130103320
51143333422440002
631253134040132
73031125534104
oct474032342370
9131438182162
1042419733752
1116a98919900
12827a349048
13400048a396
1420a5ac6904
15118415a002
hex9e069c4f8

42419733752 has 48 divisors (see below), whose sum is σ = 92567648880. Its totient is φ = 18147472640.

The previous prime is 42419733749. The next prime is 42419733761. The reversal of 42419733752 is 25733791424.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42419733697 and 42419733706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1272428 + ... + 1305339.

It is an arithmetic number, because the mean of its divisors is an integer number (1928492685).

Almost surely, 242419733752 is an apocalyptic number.

It is an amenable number.

42419733752 is an abundant number, since it is smaller than the sum of its proper divisors (50147915128).

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

42419733752 is a wasteful number, since it uses less digits than its factorization.

42419733752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577812 (or 2577797 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 47.

The spelling of 42419733752 in words is "forty-two billion, four hundred nineteen million, seven hundred thirty-three thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 968 1496 2057 4114 8228 16456 2577767 5155534 10311068 20622136 28355437 43822039 56710874 87644078 113421748 175288156 226843496 311909807 350576312 482042429 623819614 964084858 1247639228 1928169716 2495278456 3856339432 5302466719 10604933438 21209866876 42419733752