Search a number
-
+
1495957490160 = 2435729152320161
BaseRepresentation
bin10101110001001110000…
…000111100100111110000
312022000022211221100201220
4111301032000330213300
5144002210104141120
63103122224425040
7213036135601410
oct25611600744760
95260284840656
101495957490160
11527483004971
12201b15178180
13ab0b6a5cb53
145259480c640
1528da7528b40
hex15c4e03c9f0

1495957490160 has 320 divisors, whose sum is σ = 5486593121280. Its totient is φ = 329909207040.

The previous prime is 1495957490047. The next prime is 1495957490201. The reversal of 1495957490160 is 610947595941.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1495957490094 and 1495957490103.

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 63 ways as a sum of consecutive naturals, for example, 74190480 + ... + 74210640.

It is an arithmetic number, because the mean of its divisors is an integer number (17145603504).

Almost surely, 21495957490160 is an apocalyptic number.

1495957490160 is a gapful number since it is divisible by the number (10) 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 1495957490160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743296560640).

1495957490160 is an abundant number, since it is smaller than the sum of its proper divisors (3990635631120).

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

1495957490160 is a wasteful number, since it uses less digits than its factorization.

1495957490160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21736 (or 21730 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 60.

The spelling of 1495957490160 in words is "one trillion, four hundred ninety-five billion, nine hundred fifty-seven million, four hundred ninety thousand, one hundred sixty".