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46289155198264 = 23111498373510569
BaseRepresentation
bin10101000011001100010001…
…01001110000110100111000
320001220012101210222120201021
422201212020221300310320
522031400142212321024
6242240535550432224
712515165263144516
oct1241461051606470
9201805353876637
1046289155198264
1113827136398760
125237194502674
131caa082a2a7c4
14b6059adb94b6
1555414922dde4
hex2a1988a70d38

46289155198264 has 32 divisors (see below), whose sum is σ = 94683021778800. Its totient is φ = 21040378673920.

The previous prime is 46289155198259. The next prime is 46289155198277.

46289155198264 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×462891551982642 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46289155198193 and 46289155198202.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11430372 + ... + 14940940.

Almost surely, 246289155198264 is an apocalyptic number.

46289155198264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46289155198264 is an abundant number, since it is smaller than the sum of its proper divisors (48393866580536).

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

46289155198264 is a wasteful number, since it uses less digits than its factorization.

46289155198264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660423 (or 3660419 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 70.

The spelling of 46289155198264 in words is "forty-six trillion, two hundred eighty-nine billion, one hundred fifty-five million, one hundred ninety-eight thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 149837 299674 599348 1198696 1648207 3296414 3510569 6592828 7021138 13185656 14042276 28084552 38616259 77232518 154465036 308930072 526013127253 1052026254506 2104052509012 4208105018024 5786144399783 11572288799566 23144577599132 46289155198264