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46493278129 = 25728392
BaseRepresentation
bin101011010011001101…
…110001111110110001
311110000012022020120001
4223103031301332301
51230204234400004
633205252150001
73234101225554
oct532315617661
9143005266501
1046493278129
1118799275001
129016608301
1344cc3bb97c
142370b0269b
151321aab1a4
hexad3371fb1

46493278129 has 9 divisors (see below), whose sum is σ = 46730587627. Its totient is φ = 46257170944.

The previous prime is 46493278127. The next prime is 46493278151. The reversal of 46493278129 is 92187239464.

The square root of 46493278129 is 215623.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45772463025 + 720815104 = 213945^2 + 26848^2 .

It is not a de Polignac number, because 46493278129 - 21 = 46493278127 is a prime.

It is a super-2 number, since 2×464932781292 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 46493278129.

It is not an unprimeable number, because it can be changed into a prime (46493278127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55414692 + ... + 55415530.

Almost surely, 246493278129 is an apocalyptic number.

46493278129 is the 215623-rd square number.

46493278129 is the 107812-nd centered octagonal number.

It is an amenable number.

46493278129 is a deficient number, since it is larger than the sum of its proper divisors (237309498).

46493278129 is an frugal number, since it uses more digits than its factorization.

46493278129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 1096 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The spelling of 46493278129 in words is "forty-six billion, four hundred ninety-three million, two hundred seventy-eight thousand, one hundred twenty-nine".

Divisors: 1 257 839 66049 215623 703921 55415111 180907697 46493278129