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48974132601 = 346723672
BaseRepresentation
bin101101100111000101…
…011111010101111001
311200102002110201010000
4231213011133111321
51300244334220401
634255353343213
73352424154462
oct554705372571
9150362421100
1048974132601
1119851691759
1295a9407b09
1348063768b4
1425283abd69
1514197a4186
hexb6715f579

48974132601 has 45 divisors (see below), whose sum is σ = 74470024629. Its totient is φ = 32074481736.

The previous prime is 48974132579. The next prime is 48974132609. The reversal of 48974132601 is 10623147984.

The square root of 48974132601 is 221301.

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

48974132601 is a `hidden beast` number, since 4 + 8 + 9 + 7 + 4 + 1 + 32 + 601 = 666.

It is not a de Polignac number, because 48974132601 - 25 = 48974132569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48974132609) 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, 133444320 + ... + 133444686.

Almost surely, 248974132601 is an apocalyptic number.

48974132601 is the 221301-st square number.

48974132601 is the 110651-st centered octagonal number.

It is an amenable number.

48974132601 is a deficient number, since it is larger than the sum of its proper divisors (25495892028).

48974132601 is an frugal number, since it uses more digits than its factorization.

48974132601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 48974132601 in words is "forty-eight billion, nine hundred seventy-four million, one hundred thirty-two thousand, six hundred one".

Divisors: 1 3 9 27 67 81 201 367 603 1101 1809 3303 4489 5427 9909 13467 24589 29727 40401 73767 121203 134689 221301 363609 404067 663903 1212201 1647463 1991709 3636603 4942389 9024163 10909809 14827167 27072489 44481501 81217467 133444503 243652401 604618921 730957203 1813856763 5441570289 16324710867 48974132601