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16400977149 = 3233120293779
BaseRepresentation
bin11110100011001001…
…10000110011111101
31120100000022222001010
433101210300303331
5232042122232044
611311241505433
71120301001624
oct172144606375
946300288033
1016400977149
116a56a18977
1232187a2279
131714b7a50b
14b1830c6bb
1565ecedbb9
hex3d1930cfd

16400977149 has 32 divisors (see below), whose sum is σ = 23572684800. Its totient is φ = 10113554880.

The previous prime is 16400977141. The next prime is 16400977199. The reversal of 16400977149 is 94177900461.

It is not a de Polignac number, because 16400977149 - 23 = 16400977141 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16400977098 and 16400977107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16400977141) 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 31 ways as a sum of consecutive naturals, for example, 4338142 + ... + 4341920.

It is an arithmetic number, because the mean of its divisors is an integer number (736646400).

Almost surely, 216400977149 is an apocalyptic number.

It is an amenable number.

16400977149 is a deficient number, since it is larger than the sum of its proper divisors (7171707651).

16400977149 is a wasteful number, since it uses less digits than its factorization.

16400977149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865.

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 16400977149 in words is "sixteen billion, four hundred million, nine hundred seventy-seven thousand, one hundred forty-nine".

Divisors: 1 3 23 31 69 93 713 2029 2139 3779 6087 11337 46667 62899 86917 117149 140001 188697 260751 351447 1446677 2694427 4340031 7667591 8083281 23002773 176354593 237695321 529063779 713085963 5466992383 16400977149