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16452665120 = 2552924114713
BaseRepresentation
bin11110101001010011…
…11011111100100000
31120110121120222121102
433110221323330200
5232143340240440
611320325413532
71121466226463
oct172451737440
946417528542
1016452665120
116a83111901
123231b6a2a8
1317227a7008
14b211252da
1566460db15
hex3d4a7bf20

16452665120 has 96 divisors (see below), whose sum is σ = 40379335920. Its totient is φ = 6327336960.

The previous prime is 16452665113. The next prime is 16452665137. The reversal of 16452665120 is 2156625461.

It can be written as a sum of positive squares in 8 ways, for example, as 11415640336 + 5037024784 = 106844^2 + 70972^2 .

It is a super-2 number, since 2×164526651202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110884 + ... + 1125596.

Almost surely, 216452665120 is an apocalyptic number.

16452665120 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 16452665120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20189667960).

16452665120 is an abundant number, since it is smaller than the sum of its proper divisors (23926670800).

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

16452665120 is a wasteful number, since it uses less digits than its factorization.

16452665120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14998 (or 14990 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 16452665120 in words is "sixteen billion, four hundred fifty-two million, six hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 241 290 464 482 580 928 964 1160 1205 1928 2320 2410 3856 4640 4820 6989 7712 9640 13978 14713 19280 27956 29426 34945 38560 55912 58852 69890 73565 111824 117704 139780 147130 223648 235408 279560 294260 426677 470816 559120 588520 853354 1118240 1177040 1706708 2133385 2354080 3413416 3545833 4266770 6826832 7091666 8533540 13653664 14183332 17067080 17729165 28366664 34134160 35458330 56733328 68268320 70916660 102829157 113466656 141833320 205658314 283666640 411316628 514145785 567333280 822633256 1028291570 1645266512 2056583140 3290533024 4113166280 8226332560 16452665120