Search a number
-
+
16729667604 = 223213216091709
BaseRepresentation
bin11111001010010101…
…00111100000010100
31121011220211011120200
433211022213200110
5233230243330404
611404022500500
71131401554056
oct174512474024
947156734520
1016729667604
117105508981
1232aa894730
131767cb2200
14b49c2d8d6
1567dac8839
hex3e52a7814

16729667604 has 108 divisors (see below), whose sum is σ = 45847374300. Its totient is φ = 5141380608.

The previous prime is 16729667491. The next prime is 16729667611. The reversal of 16729667604 is 40676692761.

16729667604 is a `hidden beast` number, since 1 + 6 + 7 + 29 + 6 + 6 + 7 + 604 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 954810000 + 15774857604 = 30900^2 + 125598^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9788302 + ... + 9790010.

It is an arithmetic number, because the mean of its divisors is an integer number (424512725).

Almost surely, 216729667604 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 16729667604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22923687150).

16729667604 is an abundant number, since it is smaller than the sum of its proper divisors (29117706696).

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

16729667604 is a wasteful number, since it uses less digits than its factorization.

16729667604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 16729667604 in words is "sixteen billion, seven hundred twenty-nine million, six hundred sixty-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 1609 1709 2028 3042 3218 3418 4827 5127 6084 6436 6836 9654 10254 14481 15381 19308 20508 20917 22217 28962 30762 41834 44434 57924 61524 62751 66651 83668 88868 125502 133302 188253 199953 251004 266604 271921 288821 376506 399906 543842 577642 753012 799812 815763 866463 1087684 1155284 1631526 1732926 2447289 2599389 2749781 3263052 3465852 4894578 5198778 5499562 8249343 9789156 10397556 10999124 16498686 24748029 32997372 35747153 49496058 71494306 98992116 107241459 142988612 214482918 321724377 428965836 464712989 643448754 929425978 1286897508 1394138967 1858851956 2788277934 4182416901 5576555868 8364833802 16729667604