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38463446641 = 23285272
BaseRepresentation
bin100011110100100110…
…011001111001110001
310200021120202112112211
4203310212121321301
51112233120243031
625400405052121
72531105621254
oct436446317161
9120246675484
1038463446641
1115348681834
1275553b7041
13381c9324a9
141c0c4b109b
151001b6bbb1
hex8f4999e71

38463446641 has 9 divisors (see below), whose sum is σ = 40213196121. Its totient is φ = 36786808212.

The previous prime is 38463446629. The next prime is 38463446653. The reversal of 38463446641 is 14664436483.

The square root of 38463446641 is 196121.

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

It is an interprime number because it is at equal distance from previous prime (38463446629) and next prime (38463446653).

It is not a de Polignac number, because 38463446641 - 29 = 38463446129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38463446341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4506520 + ... + 4515046.

Almost surely, 238463446641 is an apocalyptic number.

38463446641 is the 196121-st square number.

38463446641 is the 98061-st centered octagonal number.

It is an amenable number.

38463446641 is a deficient number, since it is larger than the sum of its proper divisors (1749749480).

38463446641 is an frugal number, since it uses more digits than its factorization.

38463446641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17100 (or 8550 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 49.

Multiplying 38463446641 by its sum of digits (49), we get a square (1884708885409 = 13728472).

The spelling of 38463446641 in words is "thirty-eight billion, four hundred sixty-three million, four hundred forty-six thousand, six hundred forty-one".

Divisors: 1 23 529 8527 196121 4510783 72709729 1672323767 38463446641