Search a number
-
+
37780097940 = 223251316145341
BaseRepresentation
bin100011001011110111…
…101000101110010100
310121111221220211100200
4203023313220232110
51104333201113230
625204514340500
72505140351064
oct431367505624
9117457824320
1037780097940
1115027975842
1273a458a730
1337411a3250
141b8582d3a4
15eb1b88160
hex8cbde8b94

37780097940 has 72 divisors (see below), whose sum is σ = 123414994248. Its totient is φ = 9299715840.

The previous prime is 37780097911. The next prime is 37780097941. The reversal of 37780097940 is 4979008773.

It can be written as a sum of positive squares in 4 ways, for example, as 4207597956 + 33572499984 = 64866^2 + 183228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37780097941) by changing a digit.

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, 8070331 + ... + 8075010.

Almost surely, 237780097940 is an apocalyptic number.

37780097940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37780097940 is an abundant number, since it is smaller than the sum of its proper divisors (85634896308).

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

37780097940 is a wasteful number, since it uses less digits than its factorization.

37780097940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16145369 (or 16145364 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 37780097940 in words is "thirty-seven billion, seven hundred eighty million, ninety-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 16145341 32290682 48436023 64581364 80726705 96872046 145308069 161453410 193744092 209889433 242180115 290616138 322906820 419778866 484360230 581232276 629668299 726540345 839557732 968720460 1049447165 1259336598 1453080690 1889004897 2098894330 2518673196 2906161380 3148341495 3778009794 4197788660 6296682990 7556019588 9445024485 12593365980 18890048970 37780097940