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11357378041 = 192712792
BaseRepresentation
bin10101001001111001…
…11101010111111001
31002022111220120202011
422210330331113321
5141224442044131
65114552005521
7551306056222
oct124474752771
932274816664
1011357378041
1148a8a42249
12224b6908a1
1310bcc94b49
1479a53c249
154671340b1
hex2a4f3d5f9

11357378041 has 27 divisors (see below), whose sum is σ = 12313643013. Its totient is φ = 10473797880.

The previous prime is 11357378017. The next prime is 11357378057. The reversal of 11357378041 is 14087375311.

The square root of 11357378041 is 106571.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 11357378041 - 25 = 11357378009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11357377985 and 11357378003.

It is not an unprimeable number, because it can be changed into a prime (11357378441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143764240 + ... + 143764318.

Almost surely, 211357378041 is an apocalyptic number.

11357378041 is the 106571-st square number.

11357378041 is the 53286-th centered octagonal number.

It is an amenable number.

11357378041 is a deficient number, since it is larger than the sum of its proper divisors (956264972).

11357378041 is an frugal number, since it uses more digits than its factorization.

11357378041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 11357378041 in words is "eleven billion, three hundred fifty-seven million, three hundred seventy-eight thousand, forty-one".

Divisors: 1 19 71 79 361 1349 1501 5041 5609 6241 25631 28519 95779 106571 118579 398239 443111 1819801 2024849 2253001 7566541 8419109 31460881 143764279 159963071 597756739 11357378041