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166490496 = 2732433361
BaseRepresentation
bin10011110110001…
…11000110000000
3102121021121000200
421323013012000
5320110143441
624304245200
74061101014
oct1173070600
9377247020
10166490496
1185a85857
1247910800
1328653ab3
141817c544
15e93a7b6
hex9ec7180

166490496 has 96 divisors (see below), whose sum is σ = 490381320. Its totient is φ = 54190080.

The previous prime is 166490477. The next prime is 166490549. The reversal of 166490496 is 694094661.

166490496 is a `hidden beast` number, since 16 + 64 + 90 + 496 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47856 + ... + 51216.

Almost surely, 2166490496 is an apocalyptic number.

166490496 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 166490496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245190660).

166490496 is an abundant number, since it is smaller than the sum of its proper divisors (323890824).

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

166490496 is a wasteful number, since it uses less digits than its factorization.

166490496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 166490496 is about 12903.1196227889. The cubic root of 166490496 is about 550.1272388814.

The spelling of 166490496 in words is "one hundred sixty-six million, four hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 2064 2752 3096 3361 4128 5504 6192 6722 8256 10083 12384 13444 16512 20166 24768 26888 30249 40332 49536 53776 60498 80664 107552 120996 144523 161328 215104 241992 289046 322656 430208 433569 483984 578092 645312 867138 967968 1156184 1290624 1300707 1734276 1935936 2312368 2601414 3468552 3871872 4624736 5202828 6937104 9249472 10405656 13874208 18498944 20811312 27748416 41622624 55496832 83245248 166490496