Search a number
-
+
46623100132664 = 23111581733496109
BaseRepresentation
bin10101001100111010010010…
…10100100101110100111000
320010002010101000021221110222
422212131021110211310320
522102333102113221124
6243054205001355212
712551256612226406
oct1246351124456470
9203063330257428
1046623100132664
1113945822621650
12528ba51a98b08
132002702302bc3
14b727da464476
1555cb91a1125e
hex2a6749525d38

46623100132664 has 32 divisors (see below), whose sum is σ = 95371464236400. Its totient is φ = 21190977765120.

The previous prime is 46623100132663. The next prime is 46623100132769.

46623100132664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46623100132663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15356159 + ... + 18139950.

Almost surely, 246623100132664 is an apocalyptic number.

46623100132664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46623100132664 is an abundant number, since it is smaller than the sum of its proper divisors (48748364103736).

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

46623100132664 is a wasteful number, since it uses less digits than its factorization.

46623100132664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33511943 (or 33511939 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

It can be divided in two parts, 46623100 and 132664, that added together give a palindrome (46755764).

The spelling of 46623100132664 in words is "forty-six trillion, six hundred twenty-three billion, one hundred million, one hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 15817 31634 63268 126536 173987 347974 695948 1391896 33496109 66992218 133984436 267968872 368457199 736914398 1473828796 2947657592 529807956053 1059615912106 2119231824212 4238463648424 5827887516583 11655775033166 23311550066332 46623100132664