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268889209501 = 111012412514001
BaseRepresentation
bin1111101001101100001…
…0111011101010011101
3221201001100111010021011
43322123002323222131
513401141114201001
6323305340535221
725266216366253
oct3723302735235
9851040433234
10268889209501
11a4042a489a0
1244142551511
131c4825a8533
14d02b38a5d3
156edb2bbd51
hex3e9b0bba9d

268889209501 has 32 divisors (see below), whose sum is σ = 298726952832. Its totient is φ = 240000000000.

The previous prime is 268889209499. The next prime is 268889209529. The reversal of 268889209501 is 105902988862.

It is a 7-Lehmer number, since φ(268889209501) divides (268889209501-1)7.

It is a cyclic number.

It is not a de Polignac number, because 268889209501 - 21 = 268889209499 is a prime.

It is a deceptive number, since it divides R268889209500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268889209591) 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 31 ways as a sum of consecutive naturals, for example, 67203501 + ... + 67207501.

It is an arithmetic number, because the mean of its divisors is an integer number (9335217276).

Almost surely, 2268889209501 is an apocalyptic number.

268889209501 is the 231901-st centered decagonal number.

It is an amenable number.

268889209501 is a deficient number, since it is larger than the sum of its proper divisors (29837743331).

268889209501 is a wasteful number, since it uses less digits than its factorization.

268889209501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605.

The product of its (nonzero) digits is 4976640, while the sum is 58.

The spelling of 268889209501 in words is "two hundred sixty-eight billion, eight hundred eighty-nine million, two hundred nine thousand, five hundred one".

Divisors: 1 11 101 241 251 1111 2651 2761 4001 24341 25351 44011 60491 267751 278861 404101 665401 964241 1004251 4445111 6109591 10606651 11046761 67205501 97388341 101429351 242024491 1071271751 1115722861 2662269401 24444473591 268889209501