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57886000640 = 295137432341
BaseRepresentation
bin110101111010010001…
…100100011000000000
312112102011201111210122
4311322101210120000
51422022304010030
642331545515412
74116316613156
oct657221443000
9175364644718
1057886000640
1122605158056
12b275aa2b68
1355c67aa2b0
142b31c013d6
15178bd728e5
hexd7a464600

57886000640 has 160 divisors (see below), whose sum is σ = 149732041536. Its totient is φ = 21335408640.

The previous prime is 57886000631. The next prime is 57886000717. The reversal of 57886000640 is 4600068875.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 57886000591 and 57886000600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24725870 + ... + 24728210.

Almost surely, 257886000640 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 57886000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74866020768).

57886000640 is an abundant number, since it is smaller than the sum of its proper divisors (91846040896).

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

57886000640 is a wasteful number, since it uses less digits than its factorization.

57886000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 57886000640 in words is "fifty-seven billion, eight hundred eighty-six million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 743 832 1040 1280 1486 1664 2080 2341 2560 2972 3328 3715 4160 4682 5944 6656 7430 8320 9364 9659 11705 11888 14860 16640 18728 19318 23410 23776 29720 30433 33280 37456 38636 46820 47552 48295 59440 60866 74912 77272 93640 95104 96590 118880 121732 149824 152165 154544 187280 190208 193180 237760 243464 299648 304330 309088 374560 380416 386360 475520 486928 599296 608660 618176 749120 772720 951040 973856 1198592 1217320 1236352 1498240 1545440 1739363 1902080 1947712 2434640 2472704 2996480 3090880 3478726 3895424 4869280 4945408 5992960 6181760 6957452 7790848 8696815 9738560 12363520 13914904 15581696 17393630 19477120 22611719 24727040 27829808 34787260 38954240 45223438 55659616 69574520 77908480 90446876 111319232 113058595 139149040 180893752 222638464 226117190 278298080 361787504 445276928 452234380 556596160 723575008 890553856 904468760 1113192320 1447150016 1808937520 2226384640 2894300032 3617875040 4452769280 5788600064 7235750080 11577200128 14471500160 28943000320 57886000640