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57378613061 = 711172361157199
BaseRepresentation
bin110101011100000010…
…000010011101000101
312111002210222112220002
4311130002002131011
51420002411104221
642205342451045
74100616110120
oct653402023505
9174083875802
1057378613061
1122374805280
12b153b93a85
135545639763
142ac46853b7
15175c54a80b
hexd5c082745

57378613061 has 128 divisors (see below), whose sum is σ = 81251942400. Its totient is φ = 39141273600.

The previous prime is 57378613051. The next prime is 57378613079. The reversal of 57378613061 is 16031687375.

It is not a de Polignac number, because 57378613061 - 26 = 57378612997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57378612997 and 57378613015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57378613051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 288334640 + ... + 288334838.

It is an arithmetic number, because the mean of its divisors is an integer number (634780800).

Almost surely, 257378613061 is an apocalyptic number.

It is an amenable number.

57378613061 is a deficient number, since it is larger than the sum of its proper divisors (23873329339).

57378613061 is a wasteful number, since it uses less digits than its factorization.

57378613061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475.

The product of its (nonzero) digits is 635040, while the sum is 47.

The spelling of 57378613061 in words is "fifty-seven billion, three hundred seventy-eight million, six hundred thirteen thousand, sixty-one".

Divisors: 1 7 11 17 23 61 77 119 157 161 187 199 253 391 427 671 1037 1099 1309 1393 1403 1727 1771 2189 2669 2737 3383 3611 4301 4577 4697 7259 9577 9821 11407 12089 12139 15323 15433 18683 23681 23851 25277 29359 30107 31243 32039 37213 39721 50347 61387 67039 77809 79849 84973 105347 108031 133529 162809 166957 205513 206363 218701 220271 260491 262361 278047 279197 343673 352429 429709 531131 544663 675257 718589 737429 855899 934703 1139663 1444541 1541897 1790899 1836527 1905823 1954379 2269993 2405711 2422981 3071167 3717917 3744607 4726799 4746349 5030123 5842441 5991293 7904479 12216013 12536293 13340761 15889951 16960867 20964053 21498169 26212249 32398991 33224443 40897087 41190677 43833929 52209839 55331353 85512091 134376143 146748371 226792937 288334739 306837503 356388901 365468873 482173219 745176793 940633001 2494722307 3375212533 5216237551 8196944723 57378613061