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11368464129 = 361123592
BaseRepresentation
bin10101001011001110…
…01111111100000001
31002100021202211000000
422211213033330001
5141240311323004
65120025350213
7551502231201
oct124547177401
932307684000
1011368464129
114904224400
122253338369
1310c2376b69
1479bbc6401
154680c3c39
hex2a59cff01

11368464129 has 63 divisors (see below), whose sum is σ = 18787634929. Its totient is φ = 6870786120.

The previous prime is 11368464097. The next prime is 11368464131. The reversal of 11368464129 is 92146486311.

The square root of 11368464129 is 106623.

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

11368464129 is a `hidden beast` number, since 1 + 1 + 3 + 68 + 464 + 129 = 666.

It is not a de Polignac number, because 11368464129 - 25 = 11368464097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11368464529) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 31666852 + ... + 31667210.

Almost surely, 211368464129 is an apocalyptic number.

11368464129 is the 106623-rd square number.

11368464129 is the 53312-nd centered octagonal number.

It is an amenable number.

11368464129 is a deficient number, since it is larger than the sum of its proper divisors (7419170800).

11368464129 is an frugal number, since it uses more digits than its factorization.

11368464129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 373 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 11368464129 in words is "eleven billion, three hundred sixty-eight million, four hundred sixty-four thousand, one hundred twenty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 359 363 729 891 1077 1089 2673 3231 3267 3949 8019 9693 9801 11847 29079 29403 35541 43439 87237 88209 106623 128881 130317 261711 319869 386643 390951 959607 1159929 1172853 1417691 2878821 3479787 3518559 4253073 10439361 10555677 12759219 15594601 31318083 31667031 38277657 46783803 93954249 114832971 140351409 344498913 421054227 1033496739 1263162681 3789488043 11368464129