Search a number
-
+
910000000016 = 242347123742533
BaseRepresentation
bin11010011111000000011…
…10100000110000010000
310012222212110112201101022
431033200032200300100
5104402140000000031
61534014230055012
7122513435242352
oct15174016406020
93188773481338
10910000000016
11320a24304918
121284451aa468
1367a74476593
14320895490d2
1518a103d997b
hexd3e03a0c10

910000000016 has 80 divisors (see below), whose sum is σ = 1880490069504. Its totient is φ = 425603092992.

The previous prime is 909999999983. The next prime is 910000000031. The reversal of 910000000016 is 610000000019.

910000000016 is a strobogrammatic number because it is the same when read upside-down.

It is a junction number, because it is equal to n+sod(n) for n = 909999999931 and 910000000003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21373886 + ... + 21416418.

Almost surely, 2910000000016 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 910000000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940245034752).

910000000016 is an abundant number, since it is smaller than the sum of its proper divisors (970490069488).

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

910000000016 is a wasteful number, since it uses less digits than its factorization.

910000000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43848 (or 43842 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The spelling of 910000000016 in words is "nine hundred ten billion, sixteen", and thus it is an aban number.

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 368 376 752 1081 1237 2162 2474 4324 4948 8648 9896 17296 19792 28451 42533 56902 58139 85066 113804 116278 170132 227608 232556 340264 455216 465112 680528 930224 978259 1337197 1956518 1999051 2674394 3913036 3998102 5348788 7826072 7996204 10697576 15652144 15992408 21395152 31984816 45978173 52613321 91956346 105226642 183912692 210453284 367825384 420906568 735650768 841813136 1210106383 2420212766 2472826087 4840425532 4945652174 9680851064 9891304348 19361702128 19782608696 39565217392 56875000001 113750000002 227500000004 455000000008 910000000016