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153266453450016 = 25361110592366629
BaseRepresentation
bin100010110110010100100000…
…100000111000110100100000
3202002200010111122220210021120
4202312110200200320310200
5130042104144040400031
61301545345305452240
744166064411026324
oct4266244040706440
9662603448823246
10153266453450016
1144920a35362765
12152340951a1080
136769c7014802a
1429bc1c8db1984
1512abc2b1a3a96
hex8b6520838d20

153266453450016 has 96 divisors (see below), whose sum is σ = 408957071947200. Its totient is φ = 50246731054080.

The previous prime is 153266453449999. The next prime is 153266453450021. The reversal of 153266453450016 is 610054354662351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63578190 + ... + 65944818.

It is an arithmetic number, because the mean of its divisors is an integer number (4259969499450).

Almost surely, 2153266453450016 is an apocalyptic number.

153266453450016 is a gapful number since it is divisible by the number (16) 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 153266453450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204478535973600).

153266453450016 is an abundant number, since it is smaller than the sum of its proper divisors (255690618497184).

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

153266453450016 is a wasteful number, since it uses less digits than its factorization.

153266453450016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377762 (or 2377754 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 51.

The spelling of 153266453450016 in words is "one hundred fifty-three trillion, two hundred sixty-six billion, four hundred fifty-three million, four hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 11059 22118 33177 44236 66354 88472 132708 176944 265416 353888 530832 674599 1061664 1349198 2023797 2366629 2698396 4047594 4733258 5396792 7099887 8095188 9466516 10793584 14199774 16190376 18933032 21587168 28399548 32380752 37866064 56799096 64761504 75732128 113598192 144364369 227196384 288728738 433093107 577457476 866186214 1154914952 1732372428 2309829904 3464744856 4619659808 6929489712 13858979424 26172550111 52345100222 78517650333 104690200444 157035300666 209380400888 314070601332 418760801776 628141202664 837521603552 1256282405328 1596525556771 2512564810656 3193051113542 4789576670313 6386102227084 9579153340626 12772204454168 19158306681252 25544408908336 38316613362504 51088817816672 76633226725008 153266453450016