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166990464 = 2733211229
BaseRepresentation
bin10011111010000…
…01001010000000
3102122012222212000
421331001022000
5320222143324
624323104000
74065252444
oct1175011200
9378188760
10166990464
1186297453
1247b12000
132879a534
141826c824
15e9d89c9
hex9f41280

166990464 has 128 divisors (see below), whose sum is σ = 497352000. Its totient is φ = 55157760.

The previous prime is 166990451. The next prime is 166990469. The reversal of 166990464 is 464099661.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (166990469) 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, 729102 + ... + 729330.

Almost surely, 2166990464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248676000).

166990464 is an abundant number, since it is smaller than the sum of its proper divisors (330361536).

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

166990464 is a wasteful number, since it uses less digits than its factorization.

166990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 445 counting only the distinct ones).

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

The square root of 166990464 is about 12922.4790191356. The cubic root of 166990464 is about 550.6773626842.

The spelling of 166990464 in words is "one hundred sixty-six million, nine hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 211 216 229 288 384 422 432 458 576 633 687 844 864 916 1152 1266 1374 1688 1728 1832 1899 2061 2532 2748 3376 3456 3664 3798 4122 5064 5496 5697 6183 6752 7328 7596 8244 10128 10992 11394 12366 13504 14656 15192 16488 20256 21984 22788 24732 27008 29312 30384 32976 40512 43968 45576 48319 49464 60768 65952 81024 87936 91152 96638 98928 121536 131904 144957 182304 193276 197856 243072 263808 289914 364608 386552 395712 434871 579828 729216 773104 791424 869742 1159656 1304613 1546208 1739484 2319312 2609226 3092416 3478968 4638624 5218452 6184832 6957936 9277248 10436904 13915872 18554496 20873808 27831744 41747616 55663488 83495232 166990464