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57147578004 = 223111015717507
BaseRepresentation
bin110101001110010000…
…101101011010010100
312110111201020202101010
4311032100231122110
51414014234444004
642130410532220
74062112253406
oct651620553224
9173451222333
1057147578004
1122266355210
12b0aa737070
13550980731a
142aa1b04b76
151747110a89
hexd4e42d694

57147578004 has 96 divisors (see below), whose sum is σ = 147183708672. Its totient is φ = 17113680000.

The previous prime is 57147577999. The next prime is 57147578011. The reversal of 57147578004 is 40087574175.

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, 7608819 + ... + 7616325.

It is an arithmetic number, because the mean of its divisors is an integer number (1533163632).

Almost surely, 257147578004 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 57147578004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73591854336).

57147578004 is an abundant number, since it is smaller than the sum of its proper divisors (90036130668).

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

57147578004 is a wasteful number, since it uses less digits than its factorization.

57147578004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8197 (or 8195 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 48.

The spelling of 57147578004 in words is "fifty-seven billion, one hundred forty-seven million, five hundred seventy-eight thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 571 606 1111 1142 1212 1713 2222 2284 3333 3426 4444 6281 6666 6852 7507 12562 13332 15014 18843 22521 25124 30028 37686 45042 57671 75372 82577 90084 115342 165154 173013 230684 247731 330308 346026 495462 634381 692052 758207 990924 1268762 1516414 1903143 2274621 2537524 3032828 3806286 4286497 4549242 7612572 8340277 8572994 9098484 12859491 16680554 17145988 25020831 25718982 33361108 47151467 50041662 51437964 94302934 100083324 141454401 188605868 282908802 432936197 565817604 865872394 1298808591 1731744788 2597617182 4762298167 5195234364 9524596334 14286894501 19049192668 28573789002 57147578004