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6797461968 = 24321117252431
BaseRepresentation
bin1100101010010100…
…10000100111010000
3122112201121211211200
412111022100213100
5102410122240333
63042301111200
7330306321243
oct62512204720
918481554750
106797461968
112978a98870
121398558500
1384437065b
14486ab725a
1529bb5cc13
hex1952909d0

6797461968 has 120 divisors (see below), whose sum is σ = 21973700736. Its totient is φ = 1938662400.

The previous prime is 6797461963. The next prime is 6797461981. The reversal of 6797461968 is 8691647976.

6797461968 is a `hidden beast` number, since 6 + 7 + 9 + 7 + 4 + 619 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6797461961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99288 + ... + 153143.

Almost surely, 26797461968 is an apocalyptic number.

6797461968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6797461968 is an abundant number, since it is smaller than the sum of its proper divisors (15176238768).

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

6797461968 is a wasteful number, since it uses less digits than its factorization.

6797461968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252473 (or 252464 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 6797461968 is about 82446.7219966931. The cubic root of 6797461968 is about 1894.3007394429.

It can be divided in two parts, 679 and 7461968, that added together give a palindrome (7462647).

The spelling of 6797461968 in words is "six billion, seven hundred ninety-seven million, four hundred sixty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2992 3366 4488 6732 8976 13464 26928 252431 504862 757293 1009724 1514586 2019448 2271879 2776741 3029172 4038896 4291327 4543758 5553482 6058344 8330223 8582654 9087516 11106964 12116688 12873981 16660446 17165308 18175032 22213928 24990669 25747962 33320892 34330616 36350064 38621943 44427856 47204597 49981338 51495924 66641784 68661232 77243886 94409194 99962676 102991848 133283568 141613791 154487772 188818388 199925352 205983696 283227582 308975544 377636776 399850704 424841373 566455164 617951088 755273552 849682746 1132910328 1699365492 2265820656 3398730984 6797461968