Search a number
-
+
406721249536 = 287232423569
BaseRepresentation
bin1011110101100100111…
…10011100000100000000
31102212211002210020000211
411322302132130010000
523130431114441121
6510502315523504
741245634402500
oct5726236340400
91385732706024
10406721249536
111475425a6688
12669aa159594
132c479c76584
1415984abba00
15a8a69eece1
hex5eb279c100

406721249536 has 54 divisors (see below), whose sum is σ = 944401323390. Its totient is φ = 174309101568.

The previous prime is 406721249521. The next prime is 406721249551. The reversal of 406721249536 is 635942127604.

It is an interprime number because it is at equal distance from previous prime (406721249521) and next prime (406721249551).

It can be written as a sum of positive squares in only one way, i.e., 405840347136 + 880902400 = 637056^2 + 29680^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 406721249536.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 16199241 + ... + 16224328.

Almost surely, 2406721249536 is an apocalyptic number.

It is an amenable number.

406721249536 is an abundant number, since it is smaller than the sum of its proper divisors (537680073854).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406721249536 is an equidigital number, since it uses as much as digits as its factorization.

406721249536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32423599 (or 32423578 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 406721249536 in words is "four hundred six billion, seven hundred twenty-one million, two hundred forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 32423569 64847138 129694276 226964983 259388552 453929966 518777104 907859932 1037554208 1588754881 1815719864 2075108416 3177509762 3631439728 4150216832 6355019524 7262879456 8300433664 12710039048 14525758912 25420078096 29051517824 50840156192 58103035648 101680312384 203360624768 406721249536