Search a number
-
+
31523545000 = 23549764997
BaseRepresentation
bin11101010110111100…
…110001111110101000
310000100221010000012201
4131112330301332220
51004030011420000
622252014545544
72164116466003
oct352674617650
9100327100181
1031523545000
1112407245a32
1261392082b4
132c84c0c20c
14175091a53a
15c4777496a
hex756f31fa8

31523545000 has 80 divisors (see below), whose sum is σ = 74622253860. Its totient is φ = 12479232000.

The previous prime is 31523544989. The next prime is 31523545003. The reversal of 31523545000 is 54532513.

It can be written as a sum of positive squares in 10 ways, for example, as 7956996804 + 23566548196 = 89202^2 + 153514^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31523545000.

It is not an unprimeable number, because it can be changed into a prime (31523545003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 452502 + ... + 517498.

Almost surely, 231523545000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31523545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37311126930).

31523545000 is an abundant number, since it is smaller than the sum of its proper divisors (43098708860).

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

31523545000 is an equidigital number, since it uses as much as digits as its factorization.

31523545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65120 (or 65101 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The spelling of 31523545000 in words is "thirty-one billion, five hundred twenty-three million, five hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 625 776 970 1000 1250 1940 2425 2500 3880 4850 5000 9700 12125 19400 24250 48500 60625 64997 97000 121250 129994 242500 259988 324985 485000 519976 649970 1299940 1624925 2599880 3249850 6304709 6499700 8124625 12609418 12999400 16249250 25218836 31523545 32498500 40623125 50437672 63047090 64997000 81246250 126094180 157617725 162492500 252188360 315235450 324985000 630470900 788088625 1260941800 1576177250 3152354500 3940443125 6304709000 7880886250 15761772500 31523545000