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246461609601 = 3142272
BaseRepresentation
bin1110010110001001000…
…0011011011010000001
3212120011100000000000000
43211202100123122001
513014223133001401
6305120051350213
723543356054524
oct3454220333201
9776140000000
10246461609601
1195584176169
123b9235b2369
131a319ca056c
14bd008dcbbb
156627377186
hex396241b681

246461609601 has 45 divisors (see below), whose sum is σ = 371328163921. Its totient is φ = 163583917092.

The previous prime is 246461609599. The next prime is 246461609683. The reversal of 246461609601 is 106906164642.

It is a happy number.

The square root of 246461609601 is 496449.

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

246461609601 is a `hidden beast` number, since 2 + 46 + 461 + 60 + 96 + 0 + 1 = 666.

It is not a de Polignac number, because 246461609601 - 21 = 246461609599 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (246461609701) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1085733850 + ... + 1085734076.

Almost surely, 2246461609601 is an apocalyptic number.

246461609601 is the 496449-th square number.

246461609601 is the 248225-th centered octagonal number.

It is an amenable number.

246461609601 is a deficient number, since it is larger than the sum of its proper divisors (124866554320).

246461609601 is an frugal number, since it uses more digits than its factorization.

246461609601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 246461609601 in words is "two hundred forty-six billion, four hundred sixty-one million, six hundred nine thousand, six hundred one".

Divisors: 1 3 9 27 81 227 243 681 729 2043 2187 6129 6561 18387 19683 51529 55161 59049 154587 165483 177147 463761 496449 531441 1391283 1489347 1594323 4173849 4468041 4782969 12521547 13404123 37564641 40212369 112693923 120637107 338081769 361911321 1014245307 1085733963 3042735921 9128207763 27384623289 82153869867 246461609601