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61434083881 = 59242012
BaseRepresentation
bin111001001101110000…
…011011101000101001
312212120110001211000001
4321031300123220221
52001304111141011
644120013343001
74303252045162
oct711560335051
9185513054001
1061434083881
1124065a36555
12baa6197a61
135a408b0731
142d8b118769
1518e85cb7c1
hexe4dc1ba29

61434083881 has 9 divisors (see below), whose sum is σ = 62507867223. Its totient is φ = 60378452400.

The previous prime is 61434083857. The next prime is 61434083899. The reversal of 61434083881 is 18838043416.

It is a happy number.

The square root of 61434083881 is 247859.

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

61434083881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3487965481 + 57946118400 = 59059^2 + 240720^2 .

It is not a de Polignac number, because 61434083881 - 215 = 61434051113 is a prime.

It is a super-2 number, since 2×614340838812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61434083831) 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, 14621581 + ... + 14625781.

Almost surely, 261434083881 is an apocalyptic number.

61434083881 is the 247859-th square number.

61434083881 is the 123930-th centered octagonal number.

It is an amenable number.

61434083881 is a deficient number, since it is larger than the sum of its proper divisors (1073783342).

61434083881 is an frugal number, since it uses more digits than its factorization.

61434083881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8520 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 61434083881 in words is "sixty-one billion, four hundred thirty-four million, eighty-three thousand, eight hundred eighty-one".

Divisors: 1 59 3481 4201 247859 14623681 17648401 1041255659 61434083881