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16909134112 = 2513223672029
BaseRepresentation
bin11111011111101110…
…01110100100100000
31121122102112000100101
433233313032210200
5234112214242422
611433513232144
71136011161043
oct175767164440
947572460311
1016909134112
117197846802
12333aa02654
13179622a300
14b659c8c5a
1568e728c27
hex3efdce920

16909134112 has 144 divisors (see below), whose sum is σ = 38195115840. Its totient is φ = 7349861376.

The previous prime is 16909134091. The next prime is 16909134131. The reversal of 16909134112 is 21143190961.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8332714 + ... + 8334742.

It is an arithmetic number, because the mean of its divisors is an integer number (265243860).

Almost surely, 216909134112 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 16909134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19097557920).

16909134112 is an abundant number, since it is smaller than the sum of its proper divisors (21285981728).

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

16909134112 is a wasteful number, since it uses less digits than its factorization.

16909134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

It can be divided in two parts, 169091 and 34112, that added together give a triangular number (203203 = T637).

The spelling of 16909134112 in words is "sixteen billion, nine hundred nine million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 67 92 104 134 169 184 208 268 299 338 368 416 536 598 676 736 871 1072 1196 1352 1541 1742 2029 2144 2392 2704 3082 3484 3887 4058 4784 5408 6164 6968 7774 8116 9568 11323 12328 13936 15548 16232 20033 22646 24656 26377 27872 31096 32464 40066 45292 46667 49312 52754 62192 64928 80132 90584 93334 105508 124384 135943 160264 181168 186668 211016 260429 271886 320528 342901 362336 373336 422032 520858 543772 606671 641056 685802 746672 844064 1041716 1087544 1213342 1371604 1493344 1767259 2083432 2175088 2426684 2743208 3126689 3534518 4166864 4350176 4853368 5486416 6253378 7069036 7886723 8333728 9706736 10972832 12506756 14138072 15773446 19413472 22974367 25013512 28276144 31546892 40646957 45948734 50027024 56552288 63093784 81293914 91897468 100054048 126187568 162587828 183794936 252375136 325175656 367589872 528410441 650351312 735179744 1056820882 1300702624 2113641764 4227283528 8454567056 16909134112