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166124992 = 26112979103
BaseRepresentation
bin10011110011011…
…01110111000000
3102120121000122111
421321231313000
5320011444432
624252345104
74055016265
oct1171556700
9376530574
10166124992
1185856190
1247775194
1328556617
14180c526c
15e8b7347
hex9e6ddc0

166124992 has 112 divisors (see below), whose sum is σ = 380390400. Its totient is φ = 71285760.

The previous prime is 166124957. The next prime is 166124993. The reversal of 166124992 is 299421661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166124993) 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, 1612813 + ... + 1612915.

Almost surely, 2166124992 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 166124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190195200).

166124992 is an abundant number, since it is smaller than the sum of its proper divisors (214265408).

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

166124992 is a wasteful number, since it uses less digits than its factorization.

166124992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its digits is 46656, while the sum is 40.

The square root of 166124992 is about 12888.9484443069. The cubic root of 166124992 is about 549.7243709842.

The spelling of 166124992 in words is "one hundred sixty-six million, one hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 79 88 103 116 158 176 206 232 316 319 352 412 464 632 638 704 824 869 928 1133 1264 1276 1648 1738 1856 2266 2291 2528 2552 2987 3296 3476 4532 4582 5056 5104 5974 6592 6952 8137 9064 9164 10208 11948 13904 16274 18128 18328 20416 23896 25201 27808 32548 32857 36256 36656 47792 50402 55616 65096 65714 72512 73312 89507 95584 100804 130192 131428 146624 179014 191168 201608 235973 260384 262856 358028 403216 471946 520768 525712 716056 806432 943892 1051424 1432112 1612864 1887784 2102848 2595703 2864224 3775568 5191406 5728448 7551136 10382812 15102272 20765624 41531248 83062496 166124992