Search a number
-
+
16046156016 = 24321131326779
BaseRepresentation
bin11101111000110110…
…01110100011110000
31112102021200011221200
432330123032203300
5230330303443031
611212124451200
71105432034652
oct167433164360
945367604850
1016046156016
116894700570
1231399a9b00
1316894c6a97
14ac31486d2
1563dab18e6
hex3bc6ce8f0

16046156016 has 120 divisors (see below), whose sum is σ = 50569858560. Its totient is φ = 4705603200.

The previous prime is 16046156003. The next prime is 16046156039. The reversal of 16046156016 is 61065164061.

It is a happy number.

16046156016 is a `hidden beast` number, since 1 + 6 + 0 + 46 + 1 + 5 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 114286 + ... + 212493.

It is an arithmetic number, because the mean of its divisors is an integer number (421415488).

Almost surely, 216046156016 is an apocalyptic number.

16046156016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16046156016 is an abundant number, since it is smaller than the sum of its proper divisors (34523702544).

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

16046156016 is a wasteful number, since it uses less digits than its factorization.

16046156016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326835 (or 326826 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 16046156016 in words is "sixteen billion, forty-six million, one hundred fifty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 3069 4092 4464 5456 6138 8184 12276 16368 24552 49104 326779 653558 980337 1307116 1960674 2614232 2941011 3594569 3921348 5228464 5882022 7189138 7842696 10130149 10783707 11764044 14378276 15685392 20260298 21567414 23528088 28756552 30390447 32351121 40520596 43134828 47056176 57513104 60780894 64702242 81041192 86269656 91171341 111431639 121561788 129404484 162082384 172539312 182342682 222863278 243123576 258808968 334294917 364685364 445726556 486247152 517617936 668589834 729370728 891453112 1002884751 1337179668 1458741456 1782906224 2005769502 2674359336 4011539004 5348718672 8023078008 16046156016