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57768805542 = 23743104930493
BaseRepresentation
bin110101110011010010…
…100000010010100110
312112010000012101100110
4311303102200102212
51421302303234132
642312201553450
74113364513410
oct656322402246
9175100171313
1057768805542
1122554a916a8
12b2427a5886
1355a8425c96
142b204159b0
1517819231cc
hexd734a04a6

57768805542 has 64 divisors (see below), whose sum is σ = 135246988800. Its totient is φ = 16105630464.

The previous prime is 57768805529. The next prime is 57768805543. The reversal of 57768805542 is 24550886775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57768805543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1879248 + ... + 1909740.

It is an arithmetic number, because the mean of its divisors is an integer number (2113234200).

Almost surely, 257768805542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57768805542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67623494400).

57768805542 is an abundant number, since it is smaller than the sum of its proper divisors (77478183258).

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

57768805542 is a wasteful number, since it uses less digits than its factorization.

57768805542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31597.

The product of its (nonzero) digits is 18816000, while the sum is 57.

The spelling of 57768805542 in words is "fifty-seven billion, seven hundred sixty-eight million, eight hundred five thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1049 1806 2098 3147 6294 7343 14686 22029 30493 44058 45107 60986 90214 91479 135321 182958 213451 270642 315749 426902 631498 640353 947247 1280706 1311199 1894494 2622398 3933597 7867194 9178393 18356786 27535179 31987157 55070358 63974314 95961471 191922942 223910099 447820198 671730297 1343460594 1375447751 2750895502 4126343253 8252686506 9628134257 19256268514 28884402771 57768805542