Search a number
-
+
11552220658461 = 3710117957303313
BaseRepresentation
bin1010100000011011011000…
…0000100011101100011101
31111220101022010020200220110
42220012312000203230131
53003232421442032321
640323003352440233
72301422540265450
oct250066600435435
944811263220813
1011552220658461
1137542a6439a8a
121366a933a9079
1365a4a63c7222
142bd1b7dc3497
15150776ad0176
hexa81b6023b1d

11552220658461 has 32 divisors (see below), whose sum is σ = 17778723418368. Its totient is φ = 6535524326400.

The previous prime is 11552220658423. The next prime is 11552220658477. The reversal of 11552220658461 is 16485602225511.

It is not a de Polignac number, because 11552220658461 - 26 = 11552220658397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11552220658461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11552220656461) 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 31 ways as a sum of consecutive naturals, for example, 37935141 + ... + 38238453.

It is an arithmetic number, because the mean of its divisors is an integer number (555585106824).

Almost surely, 211552220658461 is an apocalyptic number.

It is an amenable number.

11552220658461 is a deficient number, since it is larger than the sum of its proper divisors (6226502759907).

11552220658461 is a wasteful number, since it uses less digits than its factorization.

11552220658461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321381.

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 11552220658461 in words is "eleven trillion, five hundred fifty-two billion, two hundred twenty million, six hundred fifty-eight thousand, four hundred sixty-one".

Divisors: 1 3 7 21 101 303 707 2121 17957 53871 125699 303313 377097 909939 1813657 2123191 5440971 6369573 12695599 30634613 38086797 91903839 214442291 643326873 5446591541 16339774623 38126140787 114378422361 550105745641 1650317236923 3850740219487 11552220658461