Search a number
-
+
16086628452144 = 24319295471111949
BaseRepresentation
bin1110101000010111010111…
…0001100100011100110000
32002221212101210111010200010
43222011311301210130300
54102030403340432034
654114032312254520
73250135435505445
oct352056561443460
962855353433603
1016086628452144
115142334424778
1219798433a1440
138c8c68967053
143d88501379cc
151cd6b42703e9
hexea175c64730

16086628452144 has 160 divisors (see below), whose sum is σ = 45335535840000. Its totient is φ = 4895844774912.

The previous prime is 16086628452133. The next prime is 16086628452149. The reversal of 16086628452144 is 44125482668061.

It is a happy number.

It is a super-2 number, since 2×160866284521442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (16086628452149) 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, 13911082 + ... + 15023030.

It is an arithmetic number, because the mean of its divisors is an integer number (283347099000).

Almost surely, 216086628452144 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 16086628452144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22667767920000).

16086628452144 is an abundant number, since it is smaller than the sum of its proper divisors (29248907387856).

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

16086628452144 is a wasteful number, since it uses less digits than its factorization.

16086628452144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112555 (or 1112549 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 16086628452144 in words is "sixteen trillion, eighty-six billion, six hundred twenty-eight million, four hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 48 57 58 76 87 114 116 152 174 228 232 304 348 456 464 547 551 696 912 1094 1102 1392 1641 1653 2188 2204 3282 3306 4376 4408 6564 6612 8752 8816 10393 13128 13224 15863 20786 26256 26448 31179 31726 41572 47589 62358 63452 83144 95178 124716 126904 166288 190356 249432 253808 301397 380712 498864 602794 761424 904191 1111949 1205588 1808382 2223898 2411176 3335847 3616764 4447796 4822352 6671694 7233528 8895592 13343388 14467056 17791184 21127031 26686776 32246521 42254062 53373552 63381093 64493042 84508124 96739563 126762186 128986084 169016248 193479126 253524372 257972168 338032496 386958252 507048744 515944336 608236103 612683899 773916504 1014097488 1216472206 1225367798 1547833008 1824708309 1838051697 2432944412 2450735596 3649416618 3676103394 4865888824 4901471192 7298833236 7352206788 9731777648 9802942384 11556485957 14597666472 14704413576 17638846987 23112971914 29195332944 29408827152 34669457871 35277693974 46225943828 52916540961 69338915742 70555387948 92451887656 105833081922 138677831484 141110775896 184903775312 211666163844 277355662968 282221551792 335138092753 423332327688 554711325936 670276185506 846664655376 1005414278259 1340552371012 2010828556518 2681104742024 4021657113036 5362209484048 8043314226072 16086628452144