Search a number
-
+
11451122146225 = 5219311223635867
BaseRepresentation
bin1010011010100010110000…
…0100010101101110110001
31111112201100101120011011101
42212220230010111232301
53000103344232134400
640204323424444401
72261213324151406
oct246505404255661
944481311504141
1011451122146225
113715436a15433
12134b379779701
13650ab4138058
142b83470d02ad
1514cd0b20556a
hexa6a2c115bb1

11451122146225 has 48 divisors (see below), whose sum is σ = 15441520250880. Its totient is φ = 8391905121600.

The previous prime is 11451122146199. The next prime is 11451122146231. The reversal of 11451122146225 is 52264122115411.

It is a happy number.

It is not a de Polignac number, because 11451122146225 - 25 = 11451122146193 is a prime.

It is a super-2 number, since 2×114511221462252 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17690742 + ... + 18326608.

It is an arithmetic number, because the mean of its divisors is an integer number (321698338560).

Almost surely, 211451122146225 is an apocalyptic number.

It is an amenable number.

11451122146225 is a deficient number, since it is larger than the sum of its proper divisors (3990398104655).

11451122146225 is a wasteful number, since it uses less digits than its factorization.

11451122146225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637150 (or 637145 counting only the distinct ones).

The product of its digits is 38400, while the sum is 37.

The spelling of 11451122146225 in words is "eleven trillion, four hundred fifty-one billion, one hundred twenty-two million, one hundred forty-six thousand, two hundred twenty-five".

Divisors: 1 5 19 25 31 95 155 475 589 775 1223 2945 6115 14725 23237 30575 37913 116185 189565 580925 635867 720347 947825 3179335 3601735 12081473 15896675 18008675 19711877 60407365 98559385 302036825 374525663 492796925 777665341 1872628315 3888326705 9363141575 14775641479 19441633525 24107625571 73878207395 120538127855 369391036975 458044885849 602690639275 2290224429245 11451122146225