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6648119152 = 2419293789229
BaseRepresentation
bin1100011000100001…
…00011111101110000
3122011022121110000021
412030100203331300
5102103404303102
63015404133224
7323514036403
oct61420437560
918138543007
106648119152
112901765354
121356537214
1381c44191c
14470d1dd3a
1528d9ad137
hex18c423f70

6648119152 has 160 divisors (see below), whose sum is σ = 14630760000. Its totient is φ = 2912329728.

The previous prime is 6648119117. The next prime is 6648119213. The reversal of 6648119152 is 2519118466.

Its product of digits (103680) is a multiple of the sum of its prime divisors (405).

It is a junction number, because it is equal to n+sod(n) for n = 6648119099 and 6648119108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29030974 + ... + 29031202.

It is an arithmetic number, because the mean of its divisors is an integer number (91442250).

Almost surely, 26648119152 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 6648119152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315380000).

6648119152 is an abundant number, since it is smaller than the sum of its proper divisors (7982640848).

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

6648119152 is a wasteful number, since it uses less digits than its factorization.

6648119152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its digits is 103680, while the sum is 43.

The square root of 6648119152 is about 81535.9991169545. Note that the first 3 decimals coincide. The cubic root of 6648119152 is about 1880.3250486704.

The spelling of 6648119152 in words is "six billion, six hundred forty-eight million, one hundred nineteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 29 37 38 58 74 76 89 116 148 152 178 229 232 296 304 356 458 464 551 592 703 712 916 1073 1102 1406 1424 1691 1832 2146 2204 2581 2812 3293 3382 3664 4292 4351 4408 5162 5624 6586 6641 6764 8473 8584 8702 8816 10324 11248 13172 13282 13528 16946 17168 17404 20381 20387 20648 26344 26564 27056 33892 34808 40762 40774 41296 49039 52688 53128 62567 67784 69616 81524 81548 95497 98078 106256 125134 126179 135568 160987 163048 163096 190994 196156 245717 250268 252358 321974 326096 326192 381988 387239 392312 491434 500536 504716 591049 643948 754097 763976 774478 784624 982868 1001072 1009432 1182098 1287896 1508194 1527952 1548956 1814443 1965736 2018864 2364196 2575792 3016388 3097912 3628886 3931472 4668623 4728392 6032776 6195824 7257772 9337246 9456784 11229931 12065552 14327843 14515544 18674492 21868813 22459862 28655686 29031088 37348984 43737626 44919724 57311372 74697968 87475252 89839448 114622744 174950504 179678896 229245488 349901008 415507447 831014894 1662029788 3324059576 6648119152