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84671904768 = 2103112227789
BaseRepresentation
bin100111011011011010…
…1101011110000000000
322002112221010102111220
41032312311223300000
52341402001423033
6102521524435040
76055151213133
oct1166665536000
9262487112456
1084671904768
1132a000a0300
12144b0548a80
137ca50098c9
14415343221a
152308716bb3
hex13b6d6bc00

84671904768 has 132 divisors (see below), whose sum is σ = 248064221160. Its totient is φ = 25658040320.

The previous prime is 84671904739. The next prime is 84671904827. The reversal of 84671904768 is 86740917648.

It is a tau number, because it is divible by the number of its divisors (132).

It is a super-2 number, since 2×846719047682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257818 + ... + 485606.

Almost surely, 284671904768 is an apocalyptic number.

84671904768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84671904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124032110580).

84671904768 is an abundant number, since it is smaller than the sum of its proper divisors (163392316392).

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

84671904768 is a wasteful number, since it uses less digits than its factorization.

84671904768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227834 (or 227805 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 84671904768 in words is "eighty-four billion, six hundred seventy-one million, nine hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1024 1056 1408 1452 1536 1936 2112 2816 2904 3072 3872 4224 5632 5808 7744 8448 11264 11616 15488 16896 23232 30976 33792 46464 61952 92928 123904 185856 227789 371712 455578 683367 911156 1366734 1822312 2505679 2733468 3644624 5011358 5466936 7289248 7517037 10022716 10933872 14578496 15034074 20045432 21867744 27562469 29156992 30068148 40090864 43735488 55124938 58313984 60136296 80181728 82687407 87470976 110249876 116627968 120272592 160363456 165374814 174941952 220499752 233255936 240545184 320726912 330749628 349883904 440999504 481090368 641453824 661499256 699767808 881999008 962180736 1282907648 1322998512 1763998016 1924361472 2565815296 2645997024 3527996032 3848722944 5291994048 7055992064 7697445888 10583988096 14111984128 21167976192 28223968256 42335952384 84671904768