Search a number
-
+
957292090405 = 57239859120619
BaseRepresentation
bin11011110111000110000…
…11100001010000100101
310101111221022221211100121
431323203003201100211
5111141013233343110
62011435055441541
7126106406340040
oct15734303412045
93344838854317
10957292090405
11339a92479342
121356432262b1
136c3701c0611
1434494387c57
1519d7c185cda
hexdee30e1425

957292090405 has 32 divisors (see below), whose sum is σ = 1370088806400. Its totient is φ = 627819584832.

The previous prime is 957292090397. The next prime is 957292090439. The reversal of 957292090405 is 504090292759.

It is a cyclic number.

It is not a de Polignac number, because 957292090405 - 23 = 957292090397 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 7876186 + ... + 7996804.

It is an arithmetic number, because the mean of its divisors is an integer number (42815275200).

Almost surely, 2957292090405 is an apocalyptic number.

It is an amenable number.

957292090405 is a deficient number, since it is larger than the sum of its proper divisors (412796715995).

957292090405 is a wasteful number, since it uses less digits than its factorization.

957292090405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130513.

The product of its (nonzero) digits is 2041200, while the sum is 52.

The spelling of 957292090405 in words is "nine hundred fifty-seven billion, two hundred ninety-two million, ninety thousand, four hundred five".

Divisors: 1 5 7 23 35 115 161 805 9859 49295 69013 120619 226757 345065 603095 844333 1133785 1587299 2774237 4221665 7936495 13871185 19419659 97098295 1189182721 5945913605 8324279047 27351202583 41621395235 136756012915 191458418081 957292090405