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6672102408 = 233361836101
BaseRepresentation
bin1100011011011000…
…00011010000001000
3122012222201220212000
412031230003100020
5102131024234113
63022022151000
7324224635416
oct61554032010
918188656760
106672102408
112914256324
121362582460
138243bb0ba
144741a42b6
15290b49373
hex18db03408

6672102408 has 128 divisors (see below), whose sum is σ = 19067529600. Its totient is φ = 2160864000.

The previous prime is 6672102401. The next prime is 6672102431. The reversal of 6672102408 is 8042012766.

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

It is not an unprimeable number, because it can be changed into a prime (6672102401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1090558 + ... + 1096658.

It is an arithmetic number, because the mean of its divisors is an integer number (148965075).

Almost surely, 26672102408 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 6672102408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9533764800).

6672102408 is an abundant number, since it is smaller than the sum of its proper divisors (12395427192).

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

6672102408 is a wasteful number, since it uses less digits than its factorization.

6672102408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6260 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6672102408 is about 81682.9382919101. The cubic root of 6672102408 is about 1882.5834416435.

The spelling of 6672102408 in words is "six billion, six hundred seventy-two million, one hundred two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 83 108 122 166 183 216 244 249 332 366 488 498 549 664 732 747 996 1098 1464 1494 1647 1992 2196 2241 2988 3294 4392 4482 5063 5976 6101 6588 8964 10126 12202 13176 15189 17928 18303 20252 24404 30378 36606 40504 45567 48808 54909 60756 73212 91134 109818 121512 136701 146424 164727 182268 219636 273402 329454 364536 372161 439272 506383 546804 658908 744322 1012766 1093608 1116483 1317816 1488644 1519149 2025532 2232966 2977288 3038298 3349449 4051064 4465932 4557447 6076596 6698898 8931864 9114894 10048347 12153192 13397796 13672341 18229788 20096694 26795592 27344682 30889363 36459576 40193388 54689364 61778726 80386776 92668089 109378728 123557452 185336178 247114904 278004267 370672356 556008534 741344712 834012801 1112017068 1668025602 2224034136 3336051204 6672102408