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6649672968 = 2334231732579
BaseRepresentation
bin1100011000101100…
…11111010100001000
3122011102112101110000
412030112133110020
5102104304013333
63015501323000
7323533200441
oct61426372410
918142471400
106649672968
1129026267a4
121356b66460
1381c866c43
144712062c8
1528dbb8713
hex18c59f508

6649672968 has 160 divisors (see below), whose sum is σ = 19554955200. Its totient is φ = 2107112832.

The previous prime is 6649672963. The next prime is 6649672973. The reversal of 6649672968 is 8692769466.

6649672968 is a `hidden beast` number, since 66 + 496 + 7 + 29 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (6649672963) and next prime (6649672973).

It is not an unprimeable number, because it can be changed into a prime (6649672963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2577103 + ... + 2579681.

It is an arithmetic number, because the mean of its divisors is an integer number (122218470).

Almost surely, 26649672968 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 6649672968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9777477600).

6649672968 is an abundant number, since it is smaller than the sum of its proper divisors (12905282232).

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

6649672968 is a wasteful number, since it uses less digits than its factorization.

6649672968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2780 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The square root of 6649672968 is about 81545.5269650028. The cubic root of 6649672968 is about 1880.4715287744.

The spelling of 6649672968 in words is "six billion, six hundred forty-nine million, six hundred seventy-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 173 184 207 216 276 324 346 414 519 552 621 648 692 828 1038 1242 1384 1557 1656 1863 2076 2484 2579 3114 3726 3979 4152 4671 4968 5158 6228 7452 7737 7958 9342 10316 11937 12456 14013 14904 15474 15916 18684 20632 23211 23874 28026 30948 31832 35811 37368 46422 47748 56052 59317 61896 69633 71622 92844 95496 107433 112104 118634 139266 143244 177951 185688 208899 214866 237268 278532 286488 322299 355902 417798 429732 446167 474536 533853 557064 644598 711804 835596 859464 892334 1067706 1289196 1338501 1423608 1601559 1671192 1784668 2135412 2578392 2677002 3203118 3569336 4015503 4270824 4804677 5354004 6406236 8031006 9609354 10261841 10708008 12046509 12812472 16062012 19218708 20523682 24093018 30785523 32124024 36139527 38437416 41047364 48186036 61571046 72279054 82094728 92356569 96372072 123142092 144558108 184713138 246284184 277069707 289116216 369426276 554139414 738852552 831209121 1108278828 1662418242 2216557656 3324836484 6649672968