Search a number
-
+
274777260031 = 4110181018191
BaseRepresentation
bin1111111111101000000…
…0000011111111111111
3222021020200220002010201
43333322000003333333
514000220434310111
6330121514144331
725565144113321
oct3777200037777
9867220802121
10274777260031
11a659466645a
12453064220a7
131cbb04087c1
14d429377611
15723318e6c1
hex3ffa003fff

274777260031 has 16 divisors (see below), whose sum is σ = 284335865856. Its totient is φ = 265356000000.

The previous prime is 274777260013. The next prime is 274777260061. The reversal of 274777260031 is 130062777472.

It is a 8-Lehmer number, since φ(274777260031) divides (274777260031-1)8.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-274777260031 is a prime.

It is a super-2 number, since 2×2747772600312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274777260061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33542146 + ... + 33550336.

It is an arithmetic number, because the mean of its divisors is an integer number (17770991616).

It is the magic constant of a 8191 × 8191 magic square.

Almost surely, 2274777260031 is an apocalyptic number.

274777260031 is a deficient number, since it is larger than the sum of its proper divisors (9558605825).

274777260031 is a wasteful number, since it uses less digits than its factorization.

274777260031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16434.

The product of its (nonzero) digits is 691488, while the sum is 46.

The spelling of 274777260031 in words is "two hundred seventy-four billion, seven hundred seventy-seven million, two hundred sixty thousand, thirty-one".

Divisors: 1 41 101 4141 8101 8191 332141 335831 818201 827291 33546241 33918931 66355291 2720566931 6701884391 274777260031