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42010873000 = 2353371135429
BaseRepresentation
bin100111001000000010…
…110000110010101000
311000102210212110200021
4213020002300302220
51142014240414000
631144410450224
73015032346205
oct471002606250
9130383773607
1042010873000
11168a9051758
128185433974
133c66865945
142067696cac
15115d2e611a
hex9c80b0ca8

42010873000 has 64 divisors (see below), whose sum is σ = 100962435600. Its totient is φ = 16350163200.

The previous prime is 42010872947. The next prime is 42010873063. The reversal of 42010873000 is 37801024.

It can be written as a sum of positive squares in 8 ways, for example, as 11142491364 + 30868381636 = 105558^2 + 175694^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530715 + ... + 604714.

Almost surely, 242010873000 is an apocalyptic number.

42010873000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42010873000 is an abundant number, since it is smaller than the sum of its proper divisors (58951562600).

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

42010873000 is a wasteful number, since it uses less digits than its factorization.

42010873000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135487 (or 1135473 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The spelling of 42010873000 in words is "forty-two billion, ten million, eight hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 925 1000 1480 1850 3700 4625 7400 9250 18500 37000 1135429 2270858 4541716 5677145 9083432 11354290 22708580 28385725 42010873 45417160 56771450 84021746 113542900 141928625 168043492 210054365 227085800 283857250 336086984 420108730 567714500 840217460 1050271825 1135429000 1680434920 2100543650 4201087300 5251359125 8402174600 10502718250 21005436500 42010873000