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109641816 = 2333975233
BaseRepresentation
bin1101000100100…
…00000001011000
321122022101022000
412202100001120
5211032014231
614514001000
72500640304
oct642200130
9248271260
10109641816
1156987579
1230876160
131993b31b
14107c0d04
15995b6e6
hex6890058

109641816 has 64 divisors (see below), whose sum is σ = 307759200. Its totient is φ = 36163584.

The previous prime is 109641781. The next prime is 109641817. The reversal of 109641816 is 618146901.

It is a happy number.

109641816 is a `hidden beast` number, since 1 + 0 + 9 + 641 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109641817) 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, 18336 + ... + 23568.

Almost surely, 2109641816 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 109641816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153879600).

109641816 is an abundant number, since it is smaller than the sum of its proper divisors (198117384).

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

109641816 is a wasteful number, since it uses less digits than its factorization.

109641816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5345 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 109641816 is about 10470.9988062267. The cubic root of 109641816 is about 478.6213565875.

The spelling of 109641816 in words is "one hundred nine million, six hundred forty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 776 873 1164 1746 2328 2619 3492 5233 5238 6984 10466 10476 15699 20932 20952 31398 41864 47097 62796 94194 125592 141291 188388 282582 376776 507601 565164 1015202 1130328 1522803 2030404 3045606 4060808 4568409 6091212 9136818 12182424 13705227 18273636 27410454 36547272 54820908 109641816