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46872683001 = 32721672
BaseRepresentation
bin101011101001110101…
…000110000111111001
311110222122020000012100
4223221311012013321
51231443401324001
633311044134013
73246356142324
oct535165060771
9143878200170
1046872683001
1118973453551
129101697309
13455cb9bcb1
1423a92657bb
151345052586
hexae9d461f9

46872683001 has 9 divisors (see below), whose sum is σ = 67705924741. Its totient is φ = 31248022332.

The previous prime is 46872682991. The next prime is 46872683009. The reversal of 46872683001 is 10038627864.

The square root of 46872683001 is 216501.

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

46872683001 is a `hidden beast` number, since 4 + 6 + 87 + 268 + 300 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 46872683001 - 219 = 46872158713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46872683009) 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, 613420 + ... + 685586.

Almost surely, 246872683001 is an apocalyptic number.

46872683001 is the 216501-st square number.

46872683001 is the 108251-st centered octagonal number.

It is an amenable number.

46872683001 is a deficient number, since it is larger than the sum of its proper divisors (20833241740).

46872683001 is an frugal number, since it uses more digits than its factorization.

46872683001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144340 (or 72170 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 46872683001 in words is "forty-six billion, eight hundred seventy-two million, six hundred eighty-three thousand, one".

Divisors: 1 3 9 72167 216501 649503 5208075889 15624227667 46872683001