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164725660992 = 2636173192667
BaseRepresentation
bin1001100101101001101…
…0100001110101000000
3120202012000101121012010
42121122122201311000
510144324232122432
6203401322332520
714621025005334
oct2313232416500
9522160347163
10164725660992
1163950383212
1227b1235a140
13126c2313729
147d893a17c4
1544417a33cc
hex265a6a1d40

164725660992 has 112 divisors (see below), whose sum is σ = 449052078272. Its totient is φ = 53268295680.

The previous prime is 164725660991. The next prime is 164725661017. The reversal of 164725660992 is 299066527461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164725660991) 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, 758643 + ... + 951309.

It is an arithmetic number, because the mean of its divisors is an integer number (4009393556).

Almost surely, 2164725660992 is an apocalyptic number.

164725660992 is a gapful number since it is divisible by the number (12) 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 164725660992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224526039136).

164725660992 is an abundant number, since it is smaller than the sum of its proper divisors (284326417280).

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

164725660992 is a wasteful number, since it uses less digits than its factorization.

164725660992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192816 (or 192806 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 164725660992 in words is "one hundred sixty-four billion, seven hundred twenty-five million, six hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 73 96 122 146 183 192 219 244 292 366 438 488 584 732 876 976 1168 1464 1752 1952 2336 2928 3504 3904 4453 4672 5856 7008 8906 11712 13359 14016 17812 26718 35624 53436 71248 106872 142496 192667 213744 284992 385334 427488 578001 770668 854976 1156002 1541336 2312004 3082672 4624008 6165344 9248016 11752687 12330688 14064691 18496032 23505374 28129382 35258061 36992064 42194073 47010748 56258764 70516122 84388146 94021496 112517528 141032244 168776292 188042992 225035056 282064488 337552584 376085984 450070112 564128976 675105168 752171968 857946151 900140224 1128257952 1350210336 1715892302 2256515904 2573838453 2700420672 3431784604 5147676906 6863569208 10295353812 13727138416 20590707624 27454276832 41181415248 54908553664 82362830496 164725660992