Search a number
-
+
16106066640 = 2432525787041
BaseRepresentation
bin11101111111111111…
…10001001011010000
31112120110101221212200
432333333301023100
5230441123113030
611222104523200
71110060210336
oct167777611320
945513357780
1016106066640
116915500284
123155a80500
131698a42161
14acb0a1b56
15643e97d60
hex3bfff12d0

16106066640 has 120 divisors (see below), whose sum is σ = 54300629448. Its totient is φ = 4278190080.

The previous prime is 16106066633. The next prime is 16106066651. The reversal of 16106066640 is 4666060161.

It can be written as a sum of positive squares in 4 ways, for example, as 11853983376 + 4252083264 = 108876^2 + 65208^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×161060666402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 16106066595 and 16106066604.

It is a congruent number.

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, 141520 + ... + 228560.

Almost surely, 216106066640 is an apocalyptic number.

16106066640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16106066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27150314724).

16106066640 is an abundant number, since it is smaller than the sum of its proper divisors (38194562808).

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

16106066640 is a wasteful number, since it uses less digits than its factorization.

16106066640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87317 (or 87308 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 16106066640 in words is "sixteen billion, one hundred six million, sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 257 360 514 720 771 1028 1285 1542 2056 2313 2570 3084 3855 4112 4626 5140 6168 7710 9252 10280 11565 12336 15420 18504 20560 23130 30840 37008 46260 61680 87041 92520 174082 185040 261123 348164 435205 522246 696328 783369 870410 1044492 1305615 1392656 1566738 1740820 2088984 2611230 3133476 3481640 3916845 4177968 5222460 6266952 6963280 7833690 10444920 12533904 15667380 20889840 22369537 31334760 44739074 62669520 67108611 89478148 111847685 134217222 178956296 201325833 223695370 268434444 335543055 357912592 402651666 447390740 536868888 671086110 805303332 894781480 1006629165 1073737776 1342172220 1610606664 1789562960 2013258330 2684344440 3221213328 4026516660 5368688880 8053033320 16106066640