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57245555248 = 2475319514943
BaseRepresentation
bin110101010100000110…
…011101101000110000
312110202112121111212221
4311110012131220300
51414214330231443
642144230530424
74064412122350
oct652406355060
9173675544787
1057245555248
1122306694a42
12b117506a14
135523bc021b
142ab0b2ab60
151750a15eed
hexd5419da30

57245555248 has 80 divisors (see below), whose sum is σ = 129242013696. Its totient is φ = 24053702400.

The previous prime is 57245555243. The next prime is 57245555249. The reversal of 57245555248 is 84255554275.

It is a junction number, because it is equal to n+sod(n) for n = 57245555195 and 57245555204.

It is not an unprimeable number, because it can be changed into a prime (57245555243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11578665 + ... + 11583607.

Almost surely, 257245555248 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 57245555248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64621006848).

57245555248 is an abundant number, since it is smaller than the sum of its proper divisors (71996458448).

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

57245555248 is a wasteful number, since it uses less digits than its factorization.

57245555248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6962 (or 6956 counting only the distinct ones).

The product of its digits is 11200000, while the sum is 52.

The spelling of 57245555248 in words is "fifty-seven billion, two hundred forty-five million, five hundred fifty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 1951 2968 3902 4943 5936 7804 9886 13657 15608 19772 27314 31216 34601 39544 54628 69202 79088 103403 109256 138404 206806 218512 261979 276808 413612 523958 553616 723821 827224 1047916 1447642 1654448 1833853 2095832 2895284 3667706 4191664 5790568 7335412 9643793 11581136 14670824 19287586 29341648 38575172 67506551 77150344 135013102 154300688 270026204 511121029 540052408 1022242058 1080104816 2044484116 3577847203 4088968232 7155694406 8177936464 14311388812 28622777624 57245555248