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57129440016 = 24311414675651
BaseRepresentation
bin110101001101001011…
…100001001100010000
312110110110010020201210
4311031023201030100
51414000114040031
642124522100120
74061502141105
oct651513411420
9173413106653
1057129440016
1122257096940
12b0a464a640
135505b2659c
142a9d542aac
15174572b746
hexd4d2e1310

57129440016 has 160 divisors (see below), whose sum is σ = 165310419456. Its totient is φ = 16850560000.

The previous prime is 57129439979. The next prime is 57129440023. The reversal of 57129440016 is 61004492175.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10106791 + ... + 10112441.

Almost surely, 257129440016 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 57129440016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82655209728).

57129440016 is an abundant number, since it is smaller than the sum of its proper divisors (108180979440).

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

57129440016 is a wasteful number, since it uses less digits than its factorization.

57129440016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181 (or 6175 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 57129440016 in words is "fifty-seven billion, one hundred twenty-nine million, four hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 467 492 528 656 902 934 984 1353 1401 1804 1868 1968 2706 2802 3608 3736 5137 5412 5604 5651 7216 7472 10274 10824 11208 11302 15411 16953 19147 20548 21648 22416 22604 30822 33906 38294 41096 45208 57441 61644 62161 67812 76588 82192 90416 114882 123288 124322 135624 153176 186483 210617 229764 231691 246576 248644 271248 306352 372966 421234 459528 463382 497288 631851 695073 745932 842468 919056 926764 994576 1263702 1390146 1491864 1684936 1853528 2527404 2548601 2639017 2780292 2983728 3369872 3707056 5054808 5097202 5278034 5560584 7645803 7917051 10109616 10194404 10556068 11121168 15291606 15834102 20388808 21112136 29029187 30583212 31668204 40777616 42224272 58058374 61166424 63336408 87087561 108199697 116116748 122332848 126672816 174175122 216399394 232233496 324599091 348350244 432798788 464466992 649198182 696700488 865597576 1190196667 1298396364 1393400976 1731195152 2380393334 2596792728 3570590001 4760786668 5193585456 7141180002 9521573336 14282360004 19043146672 28564720008 57129440016