Search a number
-
+
16478540316 = 2233759936389
BaseRepresentation
bin11110101100011001…
…01001001000011100
31120112102021120201000
433112030221020130
5232222001242231
611323052150300
71122232165410
oct172614511034
946472246630
1016478540316
116a96785267
12323a768390
131727c66694
14b2473cd40
15666a206e6
hex3d632921c

16478540316 has 96 divisors (see below), whose sum is σ = 48908160000. Its totient is φ = 4700165184.

The previous prime is 16478540311. The next prime is 16478540329. The reversal of 16478540316 is 61304587461.

16478540316 is a `hidden beast` number, since 1 + 6 + 4 + 78 + 540 + 31 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16478540311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434650 + ... + 471038.

It is an arithmetic number, because the mean of its divisors is an integer number (509460000).

Almost surely, 216478540316 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 16478540316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24454080000).

16478540316 is an abundant number, since it is smaller than the sum of its proper divisors (32429619684).

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

16478540316 is a wasteful number, since it uses less digits than its factorization.

16478540316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37008 (or 37000 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 16478540316 in words is "sixteen billion, four hundred seventy-eight million, five hundred forty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 599 756 1198 1797 2396 3594 4193 5391 7188 8386 10782 12579 16173 16772 21564 25158 32346 36389 37737 50316 64692 72778 75474 109167 113211 145556 150948 218334 226422 254723 327501 436668 452844 509446 655002 764169 982503 1018892 1310004 1528338 1965006 2292507 3056676 3930012 4585014 6877521 9170028 13755042 21797011 27510084 43594022 65391033 87188044 130782066 152579077 196173099 261564132 305158154 392346198 457737231 588519297 610316308 784692396 915474462 1177038594 1373211693 1830948924 2354077188 2746423386 4119635079 5492846772 8239270158 16478540316