Search a number
-
+
57377543661 = 3219631643827
BaseRepresentation
bin110101011011111101…
…111101010111101101
312111002201222012221200
4311123331331113231
51420002122344121
642205303520113
74100604034254
oct653375752755
9174081865850
1057377543661
1122374144879
12b153759039
135545353a89
142ac448779b
15175c3d8a26
hexd5bf7d5ed

57377543661 has 48 divisors (see below), whose sum is σ = 87620682240. Its totient is φ = 36081067680.

The previous prime is 57377543633. The next prime is 57377543669. The reversal of 57377543661 is 16634577375.

57377543661 is a `hidden beast` number, since 5 + 7 + 37 + 7 + 543 + 6 + 61 = 666.

It is not a de Polignac number, because 57377543661 - 221 = 57375446509 is a prime.

It is a super-2 number, since 2×573775436612 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57377543598 and 57377543607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57377543669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69379930 + ... + 69380756.

It is an arithmetic number, because the mean of its divisors is an integer number (1825430880).

Almost surely, 257377543661 is an apocalyptic number.

It is an amenable number.

57377543661 is a deficient number, since it is larger than the sum of its proper divisors (30243138579).

57377543661 is a wasteful number, since it uses less digits than its factorization.

57377543661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2123 counting only the distinct ones).

The product of its digits is 11113200, while the sum is 54.

The spelling of 57377543661 in words is "fifty-seven billion, three hundred seventy-seven million, five hundred forty-three thousand, six hundred sixty-one".

Divisors: 1 3 9 19 57 171 631 643 827 1893 1929 2481 5679 5787 7443 11989 12217 15713 35967 36651 47139 107901 109953 141417 405733 521837 531761 1217199 1565511 1595283 3651597 4696533 4785849 7708927 9914903 10103459 23126781 29744709 30310377 69380343 89234127 90931131 335541191 1006623573 3019870719 6375282629 19125847887 57377543661