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42669711252 = 2233756441417
BaseRepresentation
bin100111101111010100…
…000001111110010100
311002010201120220212000
4213233110001332110
51144341421230002
631334023555300
73040252363350
oct475724017624
9132121526760
1042669711252
1117106a37683
128329bbbb30
1340401c276c
1420cad98460
15119b08761c
hex9ef501f94

42669711252 has 48 divisors (see below), whose sum is σ = 126428776320. Its totient is φ = 12191345856.

The previous prime is 42669711247. The next prime is 42669711277. The reversal of 42669711252 is 25211796624.

42669711252 is a `hidden beast` number, since 426 + 69 + 7 + 112 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42669711198 and 42669711207.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28219953 + ... + 28221464.

It is an arithmetic number, because the mean of its divisors is an integer number (2633932840).

Almost surely, 242669711252 is an apocalyptic number.

42669711252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42669711252 is an abundant number, since it is smaller than the sum of its proper divisors (83759065068).

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

42669711252 is a wasteful number, since it uses less digits than its factorization.

42669711252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56441437 (or 56441429 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 42669711252 in words is "forty-two billion, six hundred sixty-nine million, seven hundred eleven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 56441417 112882834 169324251 225765668 338648502 395089919 507972753 677297004 790179838 1015945506 1185269757 1523918259 1580359676 2031891012 2370539514 3047836518 3555809271 4741079028 6095673036 7111618542 10667427813 14223237084 21334855626 42669711252