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1914412606129 = 312446332
BaseRepresentation
bin11011110110111011111…
…000100010001010110001
320210000102201001202111101
4123312323320202022301
5222331204111344004
64023245150044401
7255211633442302
oct33667370421261
96700381052441
101914412606129
1167899700a021
1226b038aa9701
1310b6b3999c4a
146892da2c7a9
1534be9229ba4
hex1bdbbe222b1

1914412606129 has 9 divisors (see below), whose sum is σ = 1978204277739. Its totient is φ = 1852615852080.

The previous prime is 1914412606121. The next prime is 1914412606147. The reversal of 1914412606129 is 9216062144191.

The square root of 1914412606129 is 1383623.

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

It can be written as a sum of positive squares in only one way, i.e., 1686738575025 + 227674031104 = 1298745^2 + 477152^2 .

It is not a de Polignac number, because 1914412606129 - 23 = 1914412606121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1914412606121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42869997 + ... + 42914629.

Almost surely, 21914412606129 is an apocalyptic number.

1914412606129 is the 1383623-rd square number.

1914412606129 is the 691812-nd centered octagonal number.

It is an amenable number.

1914412606129 is a deficient number, since it is larger than the sum of its proper divisors (63791671610).

1914412606129 is an frugal number, since it uses more digits than its factorization.

1914412606129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89328 (or 44664 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 1914412606129 in words is "one trillion, nine hundred fourteen billion, four hundred twelve million, six hundred six thousand, one hundred twenty-nine".

Divisors: 1 31 961 44633 1383623 42892313 1992104689 61755245359 1914412606129