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5776937298768 = 2431779691112967
BaseRepresentation
bin101010000010000110001…
…0010111010101101010000
3202110021021200201020220010
41110010030102322231100
51224122131422030033
620141515515114520
71134240614560146
oct124041422725520
922407250636803
105776937298768
111927a92556499
12793738742a40
1332b9bbc9a15c
1415d868b7b596
15a0410e6a863
hex5410c4bab50

5776937298768 has 160 divisors (see below), whose sum is σ = 16005192744960. Its totient is φ = 1789034158080.

The previous prime is 5776937298733. The next prime is 5776937298809. The reversal of 5776937298768 is 8678927396775.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445504221 + ... + 445517187.

It is an arithmetic number, because the mean of its divisors is an integer number (100032454656).

Almost surely, 25776937298768 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 5776937298768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002596372480).

5776937298768 is an abundant number, since it is smaller than the sum of its proper divisors (10228255446192).

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

5776937298768 is a wasteful number, since it uses less digits than its factorization.

5776937298768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19985 (or 19979 counting only the distinct ones).

The product of its digits is 13442526720, while the sum is 84.

The spelling of 5776937298768 in words is "five trillion, seven hundred seventy-six billion, nine hundred thirty-seven million, two hundred ninety-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 79 102 136 158 204 237 272 316 408 474 632 816 948 1264 1343 1896 2686 3792 4029 5372 6911 8058 10744 12967 13822 16116 20733 21488 25934 27644 32232 38901 41466 51868 55288 64464 77802 82932 103736 110576 117487 155604 165864 207472 220439 234974 311208 331728 352461 440878 469948 545969 622416 661317 704922 881756 939896 1024393 1091938 1322634 1409844 1637907 1763512 1879792 2048786 2183876 2645268 2819688 3073179 3275814 3527024 4097572 4367752 5290536 5639376 6146358 6551628 8195144 8735504 9281473 10581072 12292716 13103256 16390288 17414681 18562946 24585432 26206512 27844419 34829362 37125892 49170864 52244043 55688838 69658724 74251784 89614937 104488086 111377676 139317448 148503568 179229874 208976172 222755352 268844811 278634896 358459748 417952344 445510704 537689622 716919496 835904688 1075379244 1433838992 1523453929 2150758488 3046907858 4301516976 4570361787 6093815716 7079580023 9140723574 12187631432 14159160046 18281447148 21238740069 24375262864 28318320092 36562894296 42477480138 56636640184 73125788592 84954960276 113273280368 120352860391 169909920552 240705720782 339819841104 361058581173 481411441564 722117162346 962822883128 1444234324692 1925645766256 2888468649384 5776937298768