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16400023356 = 22319436724967
BaseRepresentation
bin11110100011000010…
…00111111100111100
31120022221112111200110
433101201013330330
5232041401221411
611311205230020
71120256620113
oct172141077474
946287474613
1016400023356
116a56427312
123218402310
131714905342
14b18140c7a
1565ebb12a6
hex3d1847f3c

16400023356 has 96 divisors (see below), whose sum is σ = 41834383360. Its totient is φ = 4982814144.

The previous prime is 16400023333. The next prime is 16400023361. The reversal of 16400023356 is 65332000461.

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 31 ways as a sum of consecutive naturals, for example, 644385 + ... + 669351.

Almost surely, 216400023356 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 16400023356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20917191680).

16400023356 is an abundant number, since it is smaller than the sum of its proper divisors (25434360004).

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

16400023356 is a wasteful number, since it uses less digits than its factorization.

16400023356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25103 (or 25101 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 16400023356 in words is "sixteen billion, four hundred million, twenty-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 43 57 67 76 86 114 129 134 172 201 228 258 268 402 516 804 817 1273 1634 2451 2546 2881 3268 3819 4902 5092 5762 7638 8643 9804 11524 15276 17286 24967 34572 49934 54739 74901 99868 109478 149802 164217 218956 299604 328434 474373 656868 948746 1073581 1423119 1672789 1897492 2147162 2846238 3220743 3345578 4294324 5018367 5692476 6441486 6691156 10036734 12882972 20073468 20398039 31782991 40796078 61194117 63565982 71929927 81592156 95348973 122388234 127131964 143859854 190697946 215789781 244776468 287719708 381395892 431579562 863159124 1366668613 2733337226 4100005839 5466674452 8200011678 16400023356