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46199299164 = 22347157521743
BaseRepresentation
bin101011000001101100…
…010101110001011100
311102020201010120020020
4223001230111301130
51224104010033124
633120151152140
73223601364204
oct530154256134
9142221116206
1046199299164
1118658333287
128b54075650
13448351b615
142343a59404
151305d8b379
hexac1b15c5c

46199299164 has 48 divisors (see below), whose sum is σ = 110793381888. Its totient is φ = 14976082368.

The previous prime is 46199299147. The next prime is 46199299199.

46199299164 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46199299098 and 46199299107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172324 + ... + 349419.

It is an arithmetic number, because the mean of its divisors is an integer number (2308195456).

Almost surely, 246199299164 is an apocalyptic number.

It is an amenable number.

46199299164 is an abundant number, since it is smaller than the sum of its proper divisors (64594082724).

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

46199299164 is a wasteful number, since it uses less digits than its factorization.

46199299164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521954 (or 521952 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 60.

The spelling of 46199299164 in words is "forty-six billion, one hundred ninety-nine million, two hundred ninety-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 47 94 141 157 188 282 314 471 564 628 942 1884 7379 14758 22137 29516 44274 88548 521743 1043486 1565229 2086972 3130458 6260916 24521921 49043842 73565763 81913651 98087684 147131526 163827302 245740953 294263052 327654604 491481906 982963812 3849941597 7699883194 11549824791 15399766388 23099649582 46199299164