Search a number
-
+
254416545614452 = 22139759385058081
BaseRepresentation
bin111001110110001111110111…
…110100111000101001110100
31020100210222120111112200202111
4321312033313310320221310
5231321330041134130302
62301033203023020404
7104405663113251064
oct7166176764705164
91210728514480674
10254416545614452
11740794a6412431
122464b76a43a704
13abc64b9c38110
1446b7b7dd2d3a4
151e62e58e220d7
hexe763f7d38a74

254416545614452 has 48 divisors (see below), whose sum is σ = 485237304799632. Its totient is φ = 116016499261440.

The previous prime is 254416545614449. The next prime is 254416545614479.

It is a happy number.

254416545614452 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 24025251221136 + 230391294393316 = 4901556^2 + 15178646^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39537949 + ... + 45520132.

It is an arithmetic number, because the mean of its divisors is an integer number (10109110516659).

Almost surely, 2254416545614452 is an apocalyptic number.

It is an amenable number.

254416545614452 is a deficient number, since it is larger than the sum of its proper divisors (230820759185180).

254416545614452 is a wasteful number, since it uses less digits than its factorization.

254416545614452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85058788 (or 85058786 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 58.

The spelling of 254416545614452 in words is "two hundred fifty-four trillion, four hundred sixteen billion, five hundred forty-five million, six hundred fourteen thousand, four hundred fifty-two".

Divisors: 1 2 4 13 26 52 97 194 388 593 1186 1261 2372 2522 5044 7709 15418 30836 57521 115042 230084 747773 1495546 2991092 85058081 170116162 340232324 1105755053 2211510106 4423020212 8250633857 16501267714 33002535428 50439442033 100878884066 107258240141 201757768132 214516480282 429032960564 655712746429 1311425492858 2622850985716 4892625877201 9785251754402 19570503508804 63604136403613 127208272807226 254416545614452