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57012843969 = 32233135325169
BaseRepresentation
bin110101000110001110…
…101111010111000001
312110011022201120000200
4311012032233113001
51413230242001334
642105155035413
74055555114664
oct650616572701
9173138646020
1057012843969
11221a729a574
12b07159bb69
1354b7921b43
142a8bc716db
15173a399799
hexd463af5c1

57012843969 has 48 divisors (see below), whose sum is σ = 88959237120. Its totient is φ = 35082178560.

The previous prime is 57012843959. The next prime is 57012843977. The reversal of 57012843969 is 96934821075.

57012843969 is a `hidden beast` number, since 570 + 1 + 2 + 8 + 4 + 3 + 9 + 69 = 666.

It is not a de Polignac number, because 57012843969 - 27 = 57012843841 is a prime.

It is a super-3 number, since 3×570128439693 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (57012843959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2252617 + ... + 2277785.

It is an arithmetic number, because the mean of its divisors is an integer number (1853317440).

It is a 2-persistent number, because it is pandigital, and so is 2⋅57012843969 = 114025687938, but 3⋅57012843969 = 171038531907 is not.

Almost surely, 257012843969 is an apocalyptic number.

57012843969 is the 151014-th heptagonal number.

It is an amenable number.

57012843969 is a deficient number, since it is larger than the sum of its proper divisors (31946393151).

57012843969 is a wasteful number, since it uses less digits than its factorization.

57012843969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25582 (or 25579 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 57012843969 in words is "fifty-seven billion, twelve million, eight hundred forty-three thousand, nine hundred sixty-nine".

Divisors: 1 3 9 23 31 69 93 207 279 353 713 1059 2139 3177 6417 8119 10943 24357 25169 32829 73071 75507 98487 226521 251689 578887 755067 780239 1736661 2265201 2340717 5209983 7022151 8884657 17945497 26653971 53836491 79961913 161509473 204347111 275424367 613041333 826273101 1839123999 2478819303 6334760441 19004281323 57012843969