Search a number
-
+
256046746769 = 1152144677499
BaseRepresentation
bin1110111001110110010…
…0110100110010010001
3220110220100010102022022
43232131210310302101
513143340431344034
6313343134221225
724333035303042
oct3563544646221
9813810112268
10256046746769
1199652793630
1241759654815
131b1b6a44368
14c56d90c8c9
1569d8ad7b2e
hex3b9d934c91

256046746769 has 8 divisors (see below), whose sum is σ = 279859860000. Its totient is φ = 232322989600.

The previous prime is 256046746757. The next prime is 256046746777. The reversal of 256046746769 is 967647640652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 256046746769 - 232 = 251751779473 is a prime.

It is a super-3 number, since 3×2560467467693 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256046046769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22333019 + ... + 22344480.

It is an arithmetic number, because the mean of its divisors is an integer number (34982482500).

Almost surely, 2256046746769 is an apocalyptic number.

It is an amenable number.

256046746769 is a deficient number, since it is larger than the sum of its proper divisors (23813113231).

256046746769 is a wasteful number, since it uses less digits than its factorization.

256046746769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44678031.

The product of its (nonzero) digits is 91445760, while the sum is 62.

The spelling of 256046746769 in words is "two hundred fifty-six billion, forty-six million, seven hundred forty-six thousand, seven hundred sixty-nine".

Divisors: 1 11 521 5731 44677499 491452489 23276976979 256046746769