Search a number
-
+
268146960282671 = 17295375713556707
BaseRepresentation
bin111100111110000011010100…
…010100001011010000101111
31022011102121011201002212000012
4330332003110110023100233
5240121304433313021141
62350145002444523435
7110323656435261221
oct7476032424132057
91264377151085005
10268146960282671
117849253a559158
12260a881655057b
13b6811c4301462
144a3054c7a6411
1521001b7899ceb
hexf3e0d450b42f

268146960282671 has 32 divisors (see below), whose sum is σ = 299647712802240. Its totient is φ = 238757669369856.

The previous prime is 268146960282629. The next prime is 268146960282689. The reversal of 268146960282671 is 176282069641862.

268146960282671 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-268146960282671 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268146960287671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13001300 + ... + 26558006.

It is an arithmetic number, because the mean of its divisors is an integer number (9363991025070).

Almost surely, 2268146960282671 is an apocalyptic number.

268146960282671 is a deficient number, since it is larger than the sum of its proper divisors (31500752519569).

268146960282671 is a wasteful number, since it uses less digits than its factorization.

268146960282671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13557563.

The product of its (nonzero) digits is 167215104, while the sum is 68.

The spelling of 268146960282671 in words is "two hundred sixty-eight trillion, one hundred forty-six billion, nine hundred sixty million, two hundred eighty-two thousand, six hundred seventy-one".

Divisors: 1 17 29 53 493 757 901 1537 12869 21953 26129 40121 373201 682057 1163509 13556707 19779653 230464019 393144503 718505471 6683456551 10262427199 12214593007 20836658659 174461262383 297610388771 354223197203 543908641547 5059376609107 9246446906299 15773350604863 268146960282671