Search a number
-
+
463940829661 = 10128116346881
BaseRepresentation
bin1101100000001010000…
…01110100000111011101
31122100111211112001202011
412300011001310013131
530100122323022121
6553044222031221
745342612662011
oct6600501640735
91570454461664
10463940829661
1116983555a081
1275ab8a18511
13349986707aa
14186521a6541
15c1050d47e1
hex6c050741dd

463940829661 has 8 divisors (see below), whose sum is σ = 470201713848. Its totient is φ = 457712640000.

The previous prime is 463940829659. The next prime is 463940829689. The reversal of 463940829661 is 166928049364.

It can be written as a sum of positive squares in 4 ways, for example, as 379093878436 + 84846951225 = 615706^2 + 291285^2 .

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

It is a 7-Lehmer number, since φ(463940829661) divides (463940829661-1)7.

It is a cyclic number.

It is not a de Polignac number, because 463940829661 - 21 = 463940829659 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 463940829596 and 463940829605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463940829601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8145060 + ... + 8201821.

It is an arithmetic number, because the mean of its divisors is an integer number (58775214231).

Almost surely, 2463940829661 is an apocalyptic number.

463940829661 is the 304612-nd centered decagonal number.

It is an amenable number.

463940829661 is a deficient number, since it is larger than the sum of its proper divisors (6260884187).

463940829661 is a wasteful number, since it uses less digits than its factorization.

463940829661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16347263.

The product of its (nonzero) digits is 13436928, while the sum is 58.

The spelling of 463940829661 in words is "four hundred sixty-three billion, nine hundred forty million, eight hundred twenty-nine thousand, six hundred sixty-one".

Divisors: 1 101 281 28381 16346881 1651034981 4593473561 463940829661