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11146046125 = 533143151443
BaseRepresentation
bin10100110000101101…
…10010101010101101
31001202210020210212011
422120112302222231
5140311341434000
65042002241221
7543131554204
oct123026625255
931683223764
1011146046125
1147aa71a475
1221b0956211
131088270986
1477a44a23b
154537dc2ba
hex2985b2aad

11146046125 has 64 divisors (see below), whose sum is σ = 14823604224. Its totient is φ = 8353800000.

The previous prime is 11146046111. The next prime is 11146046129. The reversal of 11146046125 is 52164064111.

11146046125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11146046125 - 27 = 11146045997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11146046129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25160154 + ... + 25160596.

It is an arithmetic number, because the mean of its divisors is an integer number (231618816).

Almost surely, 211146046125 is an apocalyptic number.

It is an amenable number.

11146046125 is a deficient number, since it is larger than the sum of its proper divisors (3677558099).

11146046125 is a wasteful number, since it uses less digits than its factorization.

11146046125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 11146046125 in words is "eleven billion, one hundred forty-six million, forty-six thousand, one hundred twenty-five".

Divisors: 1 5 25 31 43 125 151 155 215 443 755 775 1075 1333 2215 3775 3875 4681 5375 6493 6665 11075 13733 18875 19049 23405 32465 33325 55375 66893 68665 95245 117025 162325 166625 201283 334465 343325 476225 585125 590519 811625 1006415 1672325 1716625 2073683 2381125 2876399 2952595 5032075 8361625 10368415 14381995 14762975 25160375 51842075 71909975 73814875 89168369 259210375 359549875 445841845 2229209225 11146046125