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46309971250449 = 347561272
BaseRepresentation
bin10101000011110011000010…
…11000101100110100010001
320001222012010112001121010000
422201321201120230310101
522032220310120003244
6242254301311000213
712516533154522354
oct1241714130546421
9201865115047100
1046309971250449
1113834a48521875
12523b223809069
131cac01c4b884a
14b615b380829b
15554966943169
hex2a1e6162cd11

46309971250449 has 15 divisors (see below), whose sum is σ = 69179184347097. Its totient is φ = 30873273336108.

The previous prime is 46309971250297. The next prime is 46309971250507. The reversal of 46309971250449 is 94405217990364.

The square root of 46309971250449 is 6805143.

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

46309971250449 is a `hidden beast` number, since 4 + 6 + 30 + 9 + 97 + 1 + 2 + 504 + 4 + 9 = 666.

It is not a de Polignac number, because 46309971250449 - 213 = 46309971242257 is a prime.

It is a super-2 number, since 2×463099712504492 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46309971250649) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 60868224 + ... + 61624350.

Almost surely, 246309971250449 is an apocalyptic number.

46309971250449 is the 6805143-rd square number.

46309971250449 is the 3402572-nd centered octagonal number.

It is an amenable number.

46309971250449 is a deficient number, since it is larger than the sum of its proper divisors (22869213096648).

46309971250449 is an frugal number, since it uses more digits than its factorization.

46309971250449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512266 (or 756130 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 46309971250449 in words is "forty-six trillion, three hundred nine billion, nine hundred seventy-one million, two hundred fifty thousand, four hundred forty-nine".

Divisors: 1 3 9 27 81 756127 2268381 6805143 20415429 61246287 571728040129 1715184120387 5145552361161 15436657083483 46309971250449