Search a number
-
+
52051144115025 = 325211101208225399
BaseRepresentation
bin10111101010111000110011…
…11101001000001101010001
320211022001002201200100111100
423311130121331020031101
523310301220343140100
6302411544314135013
713651366605632226
oct1365343175101521
9224261081610440
1052051144115025
1115648847978530
125a07a3aa21469
13230752ba825b3
14cbd40872b94d
15603e82b7e400
hex2f5719f48351

52051144115025 has 72 divisors (see below), whose sum is σ = 102711759508800. Its totient is φ = 24987047760000.

The previous prime is 52051144114979. The next prime is 52051144115041.

52051144115025 is a `hidden beast` number, since 5 + 2 + 0 + 5 + 1 + 144 + 1 + 1 + 502 + 5 = 666.

52051144115025 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52051144115025 - 212 = 52051144110929 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103862725 + ... + 104362674.

It is an arithmetic number, because the mean of its divisors is an integer number (1426552215400).

Almost surely, 252051144115025 is an apocalyptic number.

52051144115025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52051144115025 is a deficient number, since it is larger than the sum of its proper divisors (50660615393775).

52051144115025 is a wasteful number, since it uses less digits than its factorization.

52051144115025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208225527 (or 208225519 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 52051144115025 in words is "fifty-two trillion, fifty-one billion, one hundred forty-four million, one hundred fifteen thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 101 165 225 275 303 495 505 825 909 1111 1515 2475 2525 3333 4545 5555 7575 9999 16665 22725 27775 49995 83325 249975 208225399 624676197 1041126995 1874028591 2290479389 3123380985 5205634975 6871438167 9370142955 11452396945 15616904925 20614314501 21030765299 34357190835 46850714775 57261984725 63092295897 103071572505 105153826495 171785954175 189276887691 231338418289 315461479485 515357862525 525769132475 694015254867 946384438455 1156692091445 1577307397425 2082045764601 3470076274335 4731922192275 5783460457225 10410228823005 17350381371675 52051144115025