Search a number
-
+
42713150600 = 23523173971697
BaseRepresentation
bin100111110001111001…
…101111010010001000
311002020202022212102202
4213301321233102020
51144434031304400
631342215015332
73041320534601
oct476171572210
9132222285382
1042713150600
111712950726a
12834066a548
1340491c1913
1420d2a64da8
15119ecb84d5
hex9f1e6f488

42713150600 has 96 divisors (see below), whose sum is σ = 99931137480. Its totient is φ = 16978452480.

The previous prime is 42713150537. The next prime is 42713150629. The reversal of 42713150600 is 605131724.

It can be written as a sum of positive squares in 12 ways, for example, as 5294890756 + 37418259844 = 72766^2 + 193438^2 .

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 23 ways as a sum of consecutive naturals, for example, 25168952 + ... + 25170648.

Almost surely, 242713150600 is an apocalyptic number.

42713150600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42713150600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49965568740).

42713150600 is an abundant number, since it is smaller than the sum of its proper divisors (57217986880).

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

42713150600 is a wasteful number, since it uses less digits than its factorization.

42713150600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 42713150600 in words is "forty-two billion, seven hundred thirteen million, one hundred fifty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 317 397 634 794 1268 1585 1588 1697 1985 2536 3170 3176 3394 3970 6340 6788 7925 7940 8485 9925 12680 13576 15850 15880 16970 19850 31700 33940 39700 42425 63400 67880 79400 84850 125849 169700 251698 339400 503396 537949 629245 673709 1006792 1075898 1258490 1347418 2151796 2516980 2689745 2694836 3146225 3368545 4303592 5033960 5379490 5389672 6292450 6737090 10758980 12584900 13448725 13474180 16842725 21517960 25169800 26897450 26948360 33685450 53794900 67370900 107589800 134741800 213565753 427131506 854263012 1067828765 1708526024 2135657530 4271315060 5339143825 8542630120 10678287650 21356575300 42713150600