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57768553128 = 233111317990137
BaseRepresentation
bin110101110011010001…
…100010101010101000
312112002222201120002210
4311303101202222220
51421302222200003
642312152325120
74113362412456
oct656321425250
9175088646083
1057768553128
1122554929aa0
12b2426a37a0
1355a8368120
142b2038b9d6
1517818c3503
hexd73462aa8

57768553128 has 128 divisors (see below), whose sum is σ = 179650638720. Its totient is φ = 15208488960.

The previous prime is 57768553109. The next prime is 57768553147. The reversal of 57768553128 is 82135586775.

It is an interprime number because it is at equal distance from previous prime (57768553109) and next prime (57768553147).

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, 436725 + ... + 553412.

It is an arithmetic number, because the mean of its divisors is an integer number (1403520615).

Almost surely, 257768553128 is an apocalyptic number.

It is an amenable number.

57768553128 is an abundant number, since it is smaller than the sum of its proper divisors (121882085592).

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

57768553128 is a wasteful number, since it uses less digits than its factorization.

57768553128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990187 (or 990183 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 57.

The spelling of 57768553128 in words is "fifty-seven billion, seven hundred sixty-eight million, five hundred fifty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 17 22 24 26 33 34 39 44 51 52 66 68 78 88 102 104 132 136 143 156 187 204 221 264 286 312 374 408 429 442 561 572 663 748 858 884 1122 1144 1326 1496 1716 1768 2244 2431 2652 3432 4488 4862 5304 7293 9724 14586 19448 29172 58344 990137 1980274 2970411 3960548 5940822 7921096 10891507 11881644 12871781 16832329 21783014 23763288 25743562 32674521 33664658 38615343 43566028 50496987 51487124 65349042 67329316 77230686 87132056 100993974 102974248 130698084 134658632 141589591 154461372 185155619 201987948 218820277 261396168 283179182 308922744 370311238 403975896 424768773 437640554 555466857 566358364 656460831 740622476 849537546 875281108 1110933714 1132716728 1312921662 1481244952 1699075092 1750562216 2221867428 2407023047 2625843324 3398150184 4443734856 4814046094 5251686648 7221069141 9628092188 14442138282 19256184376 28884276564 57768553128