Search a number
-
+
11276406606241 = 719535927113851
BaseRepresentation
bin1010010000010111111000…
…1101011100100110100001
31110221000101011110010021001
42210011332031130212201
52434223040042344431
635552150520232001
72242456603443310
oct244057615344641
943830334403231
1011276406606241
11365832a610287
12132153990b601
1363a48c26bb2a
142adad1082277
151484d28e2e61
hexa417e35c9a1

11276406606241 has 32 divisors (see below), whose sum is σ = 14055820876800. Its totient is φ = 8831740132800.

The previous prime is 11276406606221. The next prime is 11276406606281. The reversal of 11276406606241 is 14260660467211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11276406606241 - 213 = 11276406598049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11276406606191 and 11276406606200.

It is not an unprimeable number, because it can be changed into a prime (11276406606221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13141035 + ... + 13972816.

It is an arithmetic number, because the mean of its divisors is an integer number (439244402400).

Almost surely, 211276406606241 is an apocalyptic number.

It is an amenable number.

11276406606241 is a deficient number, since it is larger than the sum of its proper divisors (2779414270559).

11276406606241 is a wasteful number, since it uses less digits than its factorization.

11276406606241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27113989.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 11276406606241 in words is "eleven trillion, two hundred seventy-six billion, four hundred six million, six hundred six thousand, two hundred forty-one".

Divisors: 1 7 19 53 59 133 371 413 1007 1121 3127 7049 7847 21889 59413 415891 27113851 189796957 515163169 1437034103 1599717209 3606142183 10059238721 11198020463 27303647957 30394626971 84785012077 191125535699 212762388797 593495084539 1610915229463 11276406606241