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166445003261136 = 24335575279184669
BaseRepresentation
bin100101110110000101111111…
…010010110100010011010000
3210211022222122110101111122110
4211312011333102310103100
5133304013331313324021
61345555440124305320
750026153226123145
oct4566057722642320
9724288573344573
10166445003261136
1149041a25146226
12168021a69a2240
1371b4909175b52
142d15da43783cc
15143993aa88476
hex97617f4b44d0

166445003261136 has 80 divisors (see below), whose sum is σ = 430187612659200. Its totient is φ = 55455262646784.

The previous prime is 166445003261081. The next prime is 166445003261137. The reversal of 166445003261136 is 631162300544661.

It is a happy number.

166445003261136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1664450032611362 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166445003261137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 901223010 + ... + 901407678.

It is an arithmetic number, because the mean of its divisors is an integer number (5377345158240).

Almost surely, 2166445003261136 is an apocalyptic number.

166445003261136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166445003261136 is an abundant number, since it is smaller than the sum of its proper divisors (263742609398064).

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

166445003261136 is a wasteful number, since it uses less digits than its factorization.

166445003261136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193516 (or 193510 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 166445003261136 in words is "one hundred sixty-six trillion, four hundred forty-five billion, three million, two hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 3557 5279 7114 10558 10671 14228 15837 21116 21342 28456 31674 42232 42684 56912 63348 84464 85368 126696 170736 184669 253392 369338 554007 738676 1108014 1477352 2216028 2954704 4432056 8864112 18777403 37554806 56332209 75109612 112664418 150219224 225328836 300438448 450657672 656867633 901315344 974867651 1313735266 1949735302 1970602899 2627470532 2924602953 3899470604 3941205798 5254941064 5849205906 7798941208 7882411596 10509882128 11698411812 15597882416 15764823192 23396823624 31529646384 46793647248 3467604234607 6935208469214 10402812703821 13870416938428 20805625407642 27740833876856 41611250815284 55481667753712 83222501630568 166445003261136