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46446163164 = 22327919138537
BaseRepresentation
bin101011010000011010…
…000011010011011100
311102212220122112222100
4223100122003103130
51230110204210124
633200450245100
73232656605262
oct532032032334
9142786575870
1046446163164
1118774714915
129002886790
1344c27037ab
14236875a432
15131c8a11c9
hexad06834dc

46446163164 has 72 divisors (see below), whose sum is σ = 118967808960. Its totient is φ = 15276298752.

The previous prime is 46446163163. The next prime is 46446163187. The reversal of 46446163164 is 46136164464.

It is a happy number.

46446163164 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 6 + 1 + 631 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46446163163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5436304 + ... + 5444840.

It is an arithmetic number, because the mean of its divisors is an integer number (1652330680).

Almost surely, 246446163164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46446163164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59483904480).

46446163164 is an abundant number, since it is smaller than the sum of its proper divisors (72521645796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46446163164 is a wasteful number, since it uses less digits than its factorization.

46446163164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10539 (or 10534 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 46446163164 in words is "forty-six billion, four hundred forty-six million, one hundred sixty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 1913 2844 3826 5739 7652 8537 11478 17074 17217 22956 25611 34148 34434 51222 68868 76833 102444 151127 153666 302254 307332 453381 604508 674423 906762 1348846 1360143 1813524 2023269 2697692 2720286 4046538 5440572 6069807 8093076 12139614 16331281 24279228 32662562 48993843 65325124 97987686 146981529 195975372 293963058 587926116 1290171199 2580342398 3870513597 5160684796 7741027194 11611540791 15482054388 23223081582 46446163164